Dirichlet problems involving the Hardy-Leray operators with multiple polars

DOI10.1515/anona-2022-0320zbMath1522.35271OpenAlexW4385589167MaRDI QIDQ6075503

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Publication date: 20 September 2023

Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anona-2022-0320

zbMATH Keywords

Dirichlet eigenvaluesPoisson problemHardy-Leray operator

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Singular elliptic equations (35J75)

Cites Work

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• Existence and bifurcation of solutions for an elliptic degenerate problem
• A nonlinear elliptic PDE with the inverse square potential.
• Weighted estimates for powers and smoothing estimates of Schrödinger operators with inverse-square potentials
• A remark on existence and optimal summability of solutions of elliptic problems involving Hardy potential
• On the existence of ground state solutions to nonlinear Schrödinger equations with multisingular inverse-square anisotropic potentials
• On the weighted elliptic problems involving multi-singular potentials and multi-critical exponents
• The Hardy inequality and the asymptotic behaviour of the heat equation with an inverse-square potential
• Semilinear elliptic equations with Hardy potential and gradient nonlinearity
• On nonhomogeneous elliptic equations with the Hardy-Leray potentials
• Schrödinger operators with Leray-Hardy potential singular on the boundary
• On fractional multi-singular Schrödinger operators: positivity and localization of binding
• Improved multipolar Poincaré-Hardy inequalities on Cartan-Hadamard manifolds
• Weak solutions of semilinear elliptic equations with Leray-Hardy potentials and measure data
• Null controllability for the heat equation with singular inverse-square potentials
• On Schrödinger operators with multipolar inverse-square potentials
• Asymptotic behavior of solutions of semilinear elliptic equations near an isolated singularity
• A nonlinear elliptic equation with singular potential and applications to nonlinear field equations
• Nonlinear Schrödinger equations with symmetric multi-polar potentials
• Martin kernel of Schrödinger operators with singular potentials and applications to B.V.P. for linear elliptic equations
• Improved Multipolar Hardy Inequalities
• The Hardy potential and eigenvalue problems
• New estimates for the Hardy constants of multipolar Schrödinger operators
• Principal Eigenvalues for Problems with Indefinite Weight Function on R N
• The Poisson problem for the fractional Hardy operator: Distributional identities and singular solutions
• Hardy Inequalities, Observability, and Control for the Wave and Schrödinger Equations with Singular Potentials
• Control and Stabilization Properties for a Singular Heat Equation with an Inverse-Square Potential
• Singular solutions of some nonlinear elliptic equations
• Fundamental solutions for Schrödinger operators with general inverse square potentials
• Elliptic Equations Involving Meausres
• Existence and symmetries for elliptic equations with multipolar potentials and polyharmonic operators
• Elliptic Equations with Multi-Singular Inverse-Square Potentials and Critical Nonlinearity
• Existence and stability of solutions of general semilinear elliptic equations with measure data
• On the thermodynamic limit for Hartree-Fock type models

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