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On the lowest eigenvalue of the Laplacian for the intersection of two domains

https://doi.org/10.1007/bf01394245
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�ber eine von Rayleigh formulierte Minimaleigenschaft des Kreises
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Minimum action solutions of some vector field equations
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Some Vector Field Equations
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Bonnesen-Style Isoperimetric Inequalities
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Some bounds for principal frequency
inferredcites →https://doi.org/10.1090/s0002-9904-1978-14553-4openalex-snapshot
The isoperimetric inequality
inferredcites →https://doi.org/10.1090/s0002-9939-1981-0593476-9openalex-snapshot
The First Eigenvalue of the Laplacian for Plane Domains
inferredcites →https://doi.org/10.1215/s0012-7094-79-04620-9openalex-snapshot
Estimate on the fundamental frequency of a drum
inferredcites →https://doi.org/10.1515/9781400869312-013openalex-snapshot
A Lower Bound for the Smallest Eigenvalue of the Laplacian
inferredcites →https://doi.org/10.24033/asens.1299openalex-snapshot
Isoperimetric constants and the first eigenvalue of a compact riemannian manifold

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A Remark on Davies’ Hardy Inequality
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Derivation of Pekar's Polarons from a Microscopic Model of Quantum Crystal
inferred← citeshttps://doi.org/10.1137/15m1010658openalex-snapshot
A Compactness Lemma and Its Application to the Existence of Minimizers for the Liquid Drop Model
inferred← citeshttps://doi.org/10.1137/15m1015959openalex-snapshot
On Dipolar Quantum Gases in the Unstable Regime
inferred← citeshttps://doi.org/10.1142/9789812811066_0005openalex-snapshot
A nonlinear eigenvalue problem
inferred← citeshttps://doi.org/10.1142/9789814449243_0010openalex-snapshot
THE METHOD OF CONCENTRATION COMPACTNESS AND DISPERSIVE HAMILTONIAN EVOLUTION EQUATIONS
inferred← citeshttps://doi.org/10.1142/s0219199707002514openalex-snapshot
DIRICHLET PROBLEMS FOR THE 1-LAPLACE OPERATOR, INCLUDING THE EIGENVALUE PROBLEM
inferred← citeshttps://doi.org/10.1142/s0219199710004093openalex-snapshot
SPECTRAL ESTIMATES FOR A NONHOMOGENEOUS DIFFERENCE PROBLEM
inferred← citeshttps://doi.org/10.1142/s0219199715500388openalex-snapshot
Concentration analysis in Banach spaces
inferred← citeshttps://doi.org/10.1142/s0219199718500700openalex-snapshot
Hardy’s inequality in a limiting case on general bounded domains
inferred← citeshttps://doi.org/10.1142/s0219530510001631openalex-snapshot
EIGENVALUE PROBLEMS WITH WEIGHT AND VARIABLE EXPONENT FOR THE LAPLACE OPERATOR
inferred← citeshttps://doi.org/10.1155/2013/813417openalex-snapshot
Remarks on the Blow-Up Solutions for the Critical Gross-Pitaevskii Equation
inferred← citeshttps://doi.org/10.1186/1687-2770-2012-138openalex-snapshot
Existence of nontrivial weak homoclinic orbits for second-order impulsive differential equations
inferred← citeshttps://doi.org/10.1186/s13661-014-0220-5openalex-snapshot
Existence of homoclinic solutions for a class of second order p-Laplacian systems with impulsive effects
inferred← citeshttps://doi.org/10.1215/21562261-2265914openalex-snapshot
Blowup and scattering problems for the nonlinear Schrödinger equations
inferred← citeshttps://doi.org/10.14989/261826openalex-snapshot
Potential Well Theory for the Derivative Nonlinear Schrödinger Equation
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Blow-up solutions to the Hartree-Fock type Schrödinger equation with the critical rotational speed
inferred← citeshttps://doi.org/10.1515/gmj-2026-2010openalex-snapshot
Singular fourth-order elliptic equations on~$\smash{\mathbb{R}^N}$: Existence and multiplicity of solutions
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Positive eigenfunctions for the p-Laplace operator revisited
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Ground States for Semi-Relativistic Schrödinger-Poisson-Slater Energy
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Existence of Blow-up Solutions to Nonlinear Schrödinger Equations with Anisotropic Fourth-Order Dispersion
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Tooth Base Geometrical Variability Effect on the Vibration Behavior of the Stator
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Hölder estimates and large time behavior for a nonlocal doubly nonlinear evolution
inferred← citeshttps://doi.org/10.2140/apde.2017.10.1149openalex-snapshot
A sufficient condition for global existence of solutions to a generalized derivative nonlinear Schrödinger equation
inferred← citeshttps://doi.org/10.2140/apde.2018.11.133openalex-snapshot
Nodal geometry, heat diffusion and Brownian motion
inferred← citeshttps://doi.org/10.2140/apde.2021.14.909openalex-snapshot
Potential well theory for the derivative nonlinear Schrödinger equation
inferred← citeshttps://doi.org/10.22199/issn.0717-6279-4547openalex-snapshot
Stability and instability analysis for the standing waves for a generalized Zakharov-Rubenchik system
inferred← citeshttps://doi.org/10.2422/2036-2145.201804_005openalex-snapshot
Defect of compactness for Sobolev spaces on manifolds with bounded geometry
inferred← citeshttps://doi.org/10.2422/2036-2145.202005_044openalex-snapshot
Ground state energy threshold and blow-up for NLS with competing nonlinearities
inferred← citeshttps://doi.org/10.2478/amsil-2023-0014openalex-snapshot
A Generalized Version of the Lions-Type Lemma
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Asymptotic profiles of blow-up solutions of the nonlinear Schrödinger equation with critical power nonlinearity
inferred← citeshttps://doi.org/10.2996/kmj/1138039278openalex-snapshot
``Mass concentration'' phenomenon for the nonlinear Schrödinger equation with the critical power nonlinearity. II.
inferred← citeshttps://doi.org/10.2996/kmj47303openalex-snapshot
On solitary wave solutions to dispersive equations with double power nonlinearities
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Homoclinic traveling waves in discrete sine-Gordon equation with nonlinear interaction on 2D--lattice
inferred← citeshttps://doi.org/10.3792/pjaa.66.214openalex-snapshot
Convergence theorems for the pseudo-conformally invariant nonlinear Schrödinger equation
inferred← citeshttps://doi.org/10.3934/cpaa.2011.10.1315openalex-snapshot
$H^{1,p}$-eigenvalues and $L^\infty$-estimates in quasicylindrical domains
inferred← citeshttps://doi.org/10.3934/cpaa.2018080openalex-snapshot
Strong instability of standing waves for nonlinear Schrödinger equations with a partial confinement
inferred← citeshttps://doi.org/10.3934/cpaa.2019119openalex-snapshot
Faber-Krahn and Lieb-type inequalities for the composite membrane problem
inferred← citeshttps://doi.org/10.3934/dcdsb.2013.18.1345openalex-snapshot
On theMountain-Pass algorithm for the quasi-linear Schrödinger equation
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Ground state solution of Fractional Schrödinger-Poisson-Slater equation: Double critical case
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Traveling waves for nonlinear Schrödinger equations with nonzero conditions at infinity
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On the Inner Radius of a Nodal Domain
inferred← citeshttps://doi.org/10.4171/aihpc/94openalex-snapshot
Blow-up of 2D attractive Bose-Einstein condensates at the critical rotational speed
inferred← citeshttps://doi.org/10.4171/rmi/1146openalex-snapshot
Towards a reversed Faber–Krahn inequality for the truncated Laplacian
inferred← citeshttps://doi.org/10.4171/rmi/863openalex-snapshot
Intrinsic ultracontractivity via capacitary width
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