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On two-dimensional quasi-linear elliptic systems

https://doi.org/10.1007/bf01647963
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What this work says

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

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Two‐dimensional variational problems with obstructions, and Plateau's problem for h‐surfaces in a riemannian manifold
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K. Yosida, Functional Analysis. (Die Grundlehren der mathematischen Wissenschaften, Band 123) XII + 458 S. Berlin/Heidelberg/New York 1965. Springer‐Verlag. Preis geb. DM 66, —
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Eine A‐Priori‐Abschätzung zur Methode der Finiten Elemente bei elliptischen Randwertproblemen
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Über die Konvergenz von Differenzen- und Anderen Näherungsverfahren bei Nichtlinearen Variationsproblemen
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Multiple Integrals in the Calculus of Variations
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Bemerkungen zum Regularit�tsproblem der Gleichung vorgeschriebener mittlerer Kr�mmung
inferredcites →https://doi.org/10.1007/bf01186366openalex-snapshot
A counterexample for some lower semicontinuity results
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A discontinuous solution of a mildly nonlinear elliptic system
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Ein optimaler Regularit�tssatz f�r schwache L�sungen gewisser elliptischer Systeme
inferredcites →https://doi.org/10.1007/bf01214849openalex-snapshot
Some regularity results for quasilinear elliptic systems of second order
inferredcites →https://doi.org/10.1007/bf01245922openalex-snapshot
A-Priori Schranken f�r L�sungen gewisser elliptischer Systeme
inferredcites →https://doi.org/10.1007/bf01278926openalex-snapshot
Über die Hölderstetigkeit schwacher Lösungen semilinearer elliptischer Systeme mit einseitiger Bedingung
inferredcites →https://doi.org/10.1007/bf01297738openalex-snapshot
A selection lemma for sequences of measurable sets, and lower semicontinuity of multiple integrals
inferredcites →https://doi.org/10.1007/bf01301632openalex-snapshot
Ein Regularitätssatz für Systeme nichtlinearer elliptischer Differentialgleichungen
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Zur L?-Konvergenz linearer finiter Elemente beim Dirichlet-Problem
inferredcites →https://doi.org/10.1007/bf01305990openalex-snapshot
Regularit�tsuntersuchungen von L�sungen Elliptischer Systeme von Quasilinearen Differentialgleichungen Zweiter Ordnung
inferredcites →https://doi.org/10.1007/bf01361126openalex-snapshot
�ber die Existenz einer Fl�che konstanter mittlerer Kr�mmung bei vorgegebener Berandung
inferredcites →https://doi.org/10.1007/bf01367766openalex-snapshot
H�lder continuity of solutions of elliptic systems
inferredcites →https://doi.org/10.1007/bf01486606openalex-snapshot
�ber die Regularit�t schwacher L�sungen gewisser elliptischer Systeme
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An existence theorem for harmonic mappings of Riemannian manifolds
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On convolution operators leavingL p,λ spaces invariant
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Essential selfadjointness of singular elliptic operators
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On systems of second-order variational inequalities
inferredcites →https://doi.org/10.1007/bf02995935openalex-snapshot
A note on the Hölder Continuity of Solutions of Variational Problems
inferredcites →https://doi.org/10.1007/bfb0060690openalex-snapshot
Morrey space methods in the theory of elliptic difference equations
inferredcites →https://doi.org/10.1016/0022-247x(69)90156-5openalex-snapshot
An existence theorem for surfaces of constant mean curvature
inferredcites →https://doi.org/10.1073/pnas.39.3.201openalex-snapshot
Second Order Elliptic Systems of Differential Equations
inferredcites →https://doi.org/10.1090/s0002-9904-1940-07229-5openalex-snapshot
Existence and differentiability theorems for the solutions of variational problems for multiple integrals
inferredcites →https://doi.org/10.1090/s0002-9947-1938-1501936-8openalex-snapshot
On the Solutions of Quasi-Linear Elliptic Partial Differential Equations
inferredcites →https://doi.org/10.1112/blms/1.3.423openalex-snapshot
LINEAR AND QUASILINEAR ELLIPTIC EQUATIONS
inferredcites →https://doi.org/10.1515/9781400882182-008openalex-snapshot
VII. Second Order Elliptic Systems of Differential Equations
inferredcites →https://doi.org/10.2140/pjm.1952.2.25openalex-snapshot
Quasi-convexity and the lower semicontinuity of multiple integrals
inferredcites →https://doi.org/10.2307/1969401openalex-snapshot
The Problem of Plateau on a Riemannian Manifold
inferredcites →https://doi.org/10.2307/2372488openalex-snapshot
A Variational Method in the Theory of Harmonic Integrals, II
inferredcites →https://doi.org/10.2307/2372830openalex-snapshot
On the Analyticity of the Solutions of Analytic Non-Linear Elliptic Systems of Partial Differential Equations: Part I. Analyticity in the Interior
inferredcites →https://doi.org/10.7146/math.scand.a-11604openalex-snapshot
Harmonic mappings into Riemannian manifolds with non-positive sectional curvature.

What points at this work

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

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On a Class of Nonlinear Diagonal Elliptic Systems with Critical Growth and Cα-Regularity
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On a Class of Nonlinear Diagonal Elliptic Systems with Critical Growth and Cα-Regularity
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Quasilinear Elliptic Systems in Diagonal Form
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Counter-examples to boundary estimates for two-dimensional elliptic systems
inferred← citeshttps://doi.org/10.1007/bf01168452openalex-snapshot
On the H�lder continuity of bounded weak solutions of quasilinear parabolic systems
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A counterexample in elliptic regularity theory
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Existence of regular solutions to the stationary Navier-Stokes equations
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Regular and irregular solutions for a class of elliptic systems in the critical dimension
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Regularity of the 3D Stationary Hall Magnetohydrodynamic Equations on the Plane
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Local regularity of weak solutions to a class of parabolic systems with quadratic nonlinearities in the gradient
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Solvability problem for nondiagonal elliptic systems with a quadratic nonlinearity in the gradient (The two-dimensional case)
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New a Priori Estimates for q-Nonlinear Elliptic Systems with Strong Nonlinearities in the Gradient, 1<q<2
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Smoothness of weak solutions of strongly-nonlinear nondiagonal elliptic systems (two-dimensional case)
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The monotonicity condition and a priori estimates of the Hölder norm for a class of nondiagonal elliptic systems with quadratic nonlinearity
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Local Regularity of Weak Solutions to Quasilinear Elliptic Systems with One-Sided Condition on Quadratic Nonlinearity in the Gradient
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Regularity Conditions for Nonlinear Elliptic Systems with Quadratic Nonlinearities in the Gradient
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Parabolic Systems with Quadratic Nonlinearities in the Gradient. Regularity of Solutions
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Quasilinear Elliptic and Parabolic Systems with Nondiagonal Principal Matrices and Strong Nonlinearities in the Gradient. Solvability and Regularity Problems
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REGULARITY PROBLEM FOR PARABOLIC SYSTEMS WITH QUADRATIC NONLINEARITY IN THE GRADIENT
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The Armstrong–Frederick cyclic hardening plasticity model with Cosserat effects
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A first regularity result for the Armstrong–Frederick cyclic hardening plasticity model with Cosserat effects
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A priori estimates near the boundary for the solutions of non-diagonal elliptic systems with strong non-linearity
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Liouville theorems, partial regularity and Hölder continuity of weak solutions to quasilinear elliptic systems
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Everywhere 𝒞 α -estimates for a class of nonlinear elliptic systems with critical growth
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Morrey estimates and Hölder continuity for solutions to parabolic equations with entropy inequalities
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Quasilinear elliptic and parabolic systems with nondiagonal principal matrices and strong nonlinearities in the gradient. Solvability and regularity problems
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New a priori estimates for nondiagonal strongly nonlinear parabolic systems
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Bernstein-Sätze nullter Ordnung und Liouville-Sätze für eine Klasse elliptischer Gleichungen
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Приграничные априорные оценки для решений недиагональных эллиптических систем с сильной нелинейностью
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