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Uniqueness Theorems for Variational Problems by the Method of Transformation Groups

https://doi.org/10.1007/b96984
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
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The existence of weak solutions with prescribed singular behavior for a conformally invariant scalar equation
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The Role Played by Space Dimension in Elliptic Critical Problems
inferredcites →https://doi.org/10.1006/jdeq.1999.3700openalex-snapshot
Non-Existence Results for Semilinear Cooperative Elliptic Systems via Moving Spheres
inferredcites →https://doi.org/10.1006/jdeq.2001.4006openalex-snapshot
The Brézis–Nirenberg Problem on 3
inferredcites →https://doi.org/10.1006/jfan.1993.1062openalex-snapshot
Differential Systems with Strongly Indefinite Variational Structure
inferredcites →https://doi.org/10.1006/jfan.1994.1078openalex-snapshot
Combined Effects of Concave and Convex Nonlinearities in Some Elliptic Problems
inferredcites →https://doi.org/10.1006/jmaa.1994.1333openalex-snapshot
A General Symmetry Principle and Some Implications
inferredcites →https://doi.org/10.1006/jmaa.2001.7719openalex-snapshot
Pohozaev's Identity from a Variational Viewpoint
inferredcites →https://doi.org/10.1007/978-3-319-02856-9_26openalex-snapshot
On Superquadratic Elliptic Systems
inferredcites →https://doi.org/10.1007/978-3-540-40915-1_4openalex-snapshot
4. Variational problems on Riemannian manifolds
inferredcites →https://doi.org/10.1007/978-3-642-61705-8_30openalex-snapshot
Some problems in the theory of quasilinear equations
inferredcites →https://doi.org/10.1007/978-3-662-00547-7openalex-snapshot
Nonlinear Functional Analysis
inferredcites →https://doi.org/10.1007/978-94-011-0339-8_10openalex-snapshot
Positive solutions of semilinear elliptic boundary value problems
inferredcites →https://doi.org/10.1007/bf00250508openalex-snapshot
Quasilinear Dirichlet problems driven by positive sources
inferredcites →https://doi.org/10.1007/bf00256931openalex-snapshot
Semilinear elliptic equations involving critical Sobolev exponents
inferredcites →https://doi.org/10.1007/bf00279992openalex-snapshot
Convexity conditions and existence theorems in nonlinear elasticity
inferredcites →https://doi.org/10.1007/bf00280741openalex-snapshot
Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems
inferredcites →https://doi.org/10.1007/bf00281557openalex-snapshot
Quasiconvexity and uniqueness of equilibrium solutions in nonlinear elasticity
inferredcites →https://doi.org/10.1007/bf00375674openalex-snapshot
Variational identities and applications to differential systems
inferredcites →https://doi.org/10.1007/bf01110219openalex-snapshot
Randwertprobleme f�r Fl�chen mit vorgeschriebener mittlerer Kr�mmung und Anwendungen auf die Kapillarit�tstheorie
inferredcites →https://doi.org/10.1007/bf01328871openalex-snapshot
�ber den Virialsatz in der Wellenmechanik
inferredcites →https://doi.org/10.1007/bf01449041openalex-snapshot
A Strong Maximum Principle for some quasilinear elliptic equations
inferredcites →https://doi.org/10.1007/bf02559588openalex-snapshot
Characteristic values associated with a class of nonlinear second-order differential equations
inferredcites →https://doi.org/10.1007/bf02756756openalex-snapshot
The quantum mechanical virial theorem and the absence of positive energy bound states of Schrödinger operators
inferredcites →https://doi.org/10.1007/bfb0096144openalex-snapshot
Weak Continuity and Weak Lower Semicontinuity of Non-Linear Functionals
inferredcites →https://doi.org/10.1007/s00030-003-1037-6openalex-snapshot
Positive solutions of linear elliptic equations with critical growth in the Neumann boundary condition
inferredcites →https://doi.org/10.1007/s00229-002-0305-9openalex-snapshot
A direct uniqueness proof for equations involving the p -Laplace operator
inferredcites →https://doi.org/10.1007/s00526-002-0182-9openalex-snapshot
Existence and nonexistence results for critical growth biharmonic elliptic equations
inferredcites →https://doi.org/10.1007/s00526-002-0188-3openalex-snapshot
Pohozaev obstructions on non-starlike domains
inferredcites →https://doi.org/10.1016/0022-0396(73)90028-4openalex-snapshot
Uniqueness for sublinear boundary value problems
inferredcites →https://doi.org/10.1016/0022-0396(84)90105-0openalex-snapshot
Regularity for a more general class of quasilinear elliptic equations
inferredcites →https://doi.org/10.1016/0022-0396(88)90150-7openalex-snapshot
A symmetry theorem and applications to nonlinear partial differential equations
inferredcites →https://doi.org/10.1016/0022-0396(91)90048-eopenalex-snapshot
Global bifurcation from the eigenvalues of the p-Laplacian
inferredcites →https://doi.org/10.1016/0362-546x(83)90061-5openalex-snapshot
C1 + α local regularity of weak solutions of degenerate elliptic equations
inferredcites →https://doi.org/10.1016/0362-546x(86)90011-8openalex-snapshot
Remarks on sublinear elliptic equations
inferredcites →https://doi.org/10.1016/0362-546x(88)90053-3openalex-snapshot
Boundary regularity for solutions of degenerate elliptic equations
inferredcites →https://doi.org/10.1016/0362-546x(89)90020-5openalex-snapshot
Quasilinear elliptic equations involving critical Sobolev exponents
inferredcites →https://doi.org/10.1016/0362-546x(91)90023-topenalex-snapshot
A symmetry theorem for variational problems
inferredcites →https://doi.org/10.1016/s0022-247x(03)00491-8openalex-snapshot
Uniqueness results for semilinear polyharmonic boundary value problems on conformally contractible domains. I
inferredcites →https://doi.org/10.1016/s0294-1449(16)30169-xopenalex-snapshot
Some constancy results for nematic liquid crystals and harmonic maps
inferredcites →https://doi.org/10.1016/s0362-546x(98)00307-1openalex-snapshot
Uniqueness of solutions for some elliptic equations and systems in nearly star-shaped domains
inferredcites →https://doi.org/10.1016/s0895-7177(00)00163-1openalex-snapshot
Applications of variational identities to quasilinear elliptic differential equations
inferredcites →https://doi.org/10.1017/s0004972700032275openalex-snapshot
Remarks on the pure critical exponent problem
inferredcites →https://doi.org/10.1080/00036819708840527openalex-snapshot
Symmetry properties of positive solutions of elliptic equations on symmetric domains
inferredcites →https://doi.org/10.1080/03605308108820196openalex-snapshot
A priori bounds for positive solutions of nonlinear elliptic equations
inferredcites →https://doi.org/10.1080/03605309308820923openalex-snapshot
A rellich type identity and applications
inferredcites →https://doi.org/10.1090/cbms/074openalex-snapshot
Weak Convergence Methods for Nonlinear Partial Differential Equations
inferredcites →https://doi.org/10.1090/s0002-9947-1927-1501380-6openalex-snapshot
Implicit Functions and Their Differentials in General Analysis
inferredcites →https://doi.org/10.1090/s0002-9947-98-02085-6openalex-snapshot
Green’s function, harmonic transplantation, and best Sobolev constant in spaces of constant curvature
inferredcites →https://doi.org/10.1090/s0002-9947-98-02159-xopenalex-snapshot
Strongly indefinite systems with critical Sobolev exponents
inferredcites →https://doi.org/10.1112/blms/19.4.402bopenalex-snapshot
APPLICATIONS OF LIE GROUPS TO DIFFERENTIAL EQUATIONS (Graduate Texts in Mathematics)
inferredcites →https://doi.org/10.1137/1032120openalex-snapshot
Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis
inferredcites →https://doi.org/10.1512/iumj.1969.18.18031openalex-snapshot
An Existence Theorem for a Class of Non-Linear Integral Equations with Applications to a Non-Linear Elliptic Boundary Value Problem
inferredcites →https://doi.org/10.1512/iumj.1986.35.35036openalex-snapshot
inferredcites →https://doi.org/10.2307/1971012openalex-snapshot
Curvature Functions for Compact 2-Manifolds
inferredcites →https://doi.org/10.2307/2316070openalex-snapshot
Positive Solutions of Operator Equations.
inferredcites →https://doi.org/10.2307/2946545openalex-snapshot
Conformal Deformation of a Riemannian Metric to a Scalar Flat Metric with Constant mean Curvature on the Boundary
inferredcites →https://doi.org/10.4310/jdg/1214447805openalex-snapshot
The Yamabe problem on manifolds with boundary
inferredcites →https://doi.org/10.57262/ade/1356651221openalex-snapshot
Uniqueness for semilinear elliptic problems: supercritical growth and domain geometry

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Inequalities and applications 2010 : dedicated to the memory of Wolfgang Walter
inferred← citeshttps://doi.org/10.1007/978-3-0348-0845-3_11openalex-snapshot
I.11 Variational Identities and their Applications
inferred← citeshttps://doi.org/10.1007/978-3-642-13171-4openalex-snapshot
Holomorphic Dynamical Systems
inferred← citeshttps://doi.org/10.1007/s00526-006-0015-3openalex-snapshot
Energy bounds for entire nodal solutions of autonomous superlinear equations
inferred← citeshttps://doi.org/10.1016/j.jfa.2012.06.018openalex-snapshot
Nonexistence results for a class of fractional elliptic boundary value problems
inferred← citeshttps://doi.org/10.1016/j.na.2008.10.045openalex-snapshot
Conditional Lie Bäcklund symmetries of Hamilton–Jacobi equations
inferred← citeshttps://doi.org/10.1016/j.na.2014.11.004openalex-snapshot
An invitation to modern group analysis of differential equations
inferred← citeshttps://doi.org/10.1016/s0022-247x(03)00491-8openalex-snapshot
Uniqueness results for semilinear polyharmonic boundary value problems on conformally contractible domains. I
inferred← citeshttps://doi.org/10.1063/1.5013982openalex-snapshot
Nonexistence of nontrivial generalized solutions for 2-D and 3-D BVPs with nonlinear mixed type equations
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On the degenerate hyperbolic Cauchy-Goursat problem for nonlinear Gellerstedt equations in the frame of generalized solvability
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Book Review: Exterior differential systems and Euler--Lagrange partial differential equations
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Paths to uniqueness of critical points and applications to partial differential equations
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Uniqueness of a Constrained Variational Problem and Large Deviations of Buffer Size
inferred← citeshttps://doi.org/10.1515/acv-2022-0003openalex-snapshot
A generalized fractional Pohozaev identity and applications
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Fractional Hadamard formulas, Pohozaev type identities and applications
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Generalized Clapeyron's Theorem
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Pohozhaev and Morawetz Identities in Elastostatics and Elastodynamics
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