Elliptic problems with critical exponents and Hardy potentials.
From MaRDI portal
Publication:1811800
DOI10.1016/S0022-0396(02)00178-XzbMath1163.35383OpenAlexW2000943588MaRDI QIDQ1811800
Publication date: 17 June 2003
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0022-0396(02)00178-x
critical Sobolev exponentprinciple of symmetric criticalityHardy inequalityconcentration-compactness
Variational methods involving nonlinear operators (47J30) Boundary value problems for second-order elliptic equations (35J25) Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)
Related Items (73)
Sobolev inequalities for the Hardy-Schrödinger operator: extremals and critical dimensions ⋮ On the multiplicity of non radial solutions for singular elliptic equations ⋮ Ground states for a nonlinear elliptic equation involving multiple Hardy-Sobolev critical exponents ⋮ Existence and asymptotics of ground states to the nonlinear Dirac equation with Coulomb potential ⋮ A BERESTYCKI–LIONS THEOREM REVISITED ⋮ Ground state solution for the Schrödinger equation with Hardy potential and critical Sobolev exponent ⋮ Existence of Blowing-up Solutions for a Nonlinear Elliptic Equation with Hardy Potential and Critical Growth ⋮ Elliptic Equations with Multi-Singular Inverse-Square Potentials and Critical Nonlinearity ⋮ Ground states of nonlinear Schrödinger equations with sum of periodic and inverse-square potentials ⋮ Solutions for a singular critical growth problem with a weight ⋮ Existence of solutions for the critical elliptic system with inverse square potentials ⋮ Ground states for a system of nonlinear Schrödinger equations with singular potentials ⋮ Standing waves for nonlinear Schrödinger equations involving critical growth ⋮ Ground state solutions for Choquard equations with Hardy potentials and critical nonlinearity ⋮ The Hardy-Schrödinger operator with interior singularity: the remaining cases ⋮ On a Neumann problem with critical exponents and Hardy potentials ⋮ Normalized ground state for the Sobolev critical Schrödinger equation involving Hardy term with combined nonlinearities ⋮ A fourth order singular elliptic problem involving \(p\)-biharmonic operator ⋮ Existence and nonexistence for boundary problem involving the \(p\)-biharmonic operator and singular nonlinearities ⋮ Existence of ground state solutions for Kirchhoff problems with Hardy potential ⋮ On nonlinear fractional Schrödinger equations with indefinite and Hardy potentials ⋮ Existence results for fractional Brezis-Nirenberg type problems in unbounded domains ⋮ Quasilinear elliptic problems with combined critical Sobolev-Hardy terms ⋮ A multiplicity result to Schr\"{o}dinger Equation with singular points ⋮ Singularly perturbed nonlinear Dirichlet problems involving critical growth ⋮ Existence and multiplicity of solutions for critical elliptic equations with multi-polar potentials in symmetric domains ⋮ Multiplicity result for a class of elliptic equations with singular term ⋮ Nodal bubble tower solutions to slightly subcritical elliptic problems with Hardy terms ⋮ Global compactness results for singular quasilinear elliptic problems with critical Sobolev exponents and applications ⋮ On an elliptic problem with critical exponent and Hardy potential ⋮ Nehari-type ground state solutions for Schrödinger equations with Hardy potential and critical nonlinearities ⋮ Existence, non-existence and regularity of radial ground states for \(p\)-Laplacian equations with singular weights ⋮ The existence of solutions for quasilinear elliptic problems with combined critical Sobolev-Hardy terms ⋮ On Schrödinger operators with multipolar inverse-square potentials ⋮ Existence and asymptotic behavior of ground state solutions for asymptotically linear Schrödinger equation with inverse square potential ⋮ Sign-changing solutions for critical equations with Hardy potential ⋮ Nontrivial solutions for a class of critical elliptic equations of Caffarelli-Kohn-Nirenberg type ⋮ Existence results for singular critical elliptic problems in \(\mathbb R^N\) ⋮ A nonlinear elliptic equation with singular potential and applications to nonlinear field equations ⋮ Nodal blow-up solutions to slightly subcritical elliptic problems with Hardy-critical term ⋮ Existence of solutions for singular elliptic systems with critical exponents ⋮ Multiple solutions to singular critical elliptic equations ⋮ Ground state solutions for Hamiltonian elliptic system with inverse square potential ⋮ Nodal and positive solutions for singular semilinear elliptic equations with critical exponents in symmetric domains ⋮ Existence of positive solutions for the \(p\)-Laplacian with \(p\)-gradient term ⋮ Solutions for semilinear elliptic equations with critical exponents and Hardy potential ⋮ Remarks on the existence of solutions to some quasilinear elliptic problems involving the Hardy-Leray potential ⋮ Solutions to critical elliptic equations with multi-singular inverse square potentials ⋮ Quasilinear elliptic problems with critical exponents and Hardy terms ⋮ Infinitely many solutions for an elliptic problem involving critical Sobolev growth and Hardy potential ⋮ Schrödinger equations with critical nonlinearity, singular potential and a ground state ⋮ Nonlinear Schrödinger equations with symmetric multi-polar potentials ⋮ Existence and asymptotic behavior of ground states for Schrödinger systems with Hardy potential ⋮ Positive ground state solutions for an elliptic system with Hardy-Sobolev critical exponent growth ⋮ On a weighted Lane–Emden system ⋮ FOUNTAIN-LIKE SOLUTIONS FOR NONLINEAR ELLIPTIC EQUATIONS WITH CRITICAL GROWTH AND HARDY POTENTIAL ⋮ Existence results for elliptic problems with Hardy potential ⋮ Existence of positive solutions for a semilinear elliptic problem with critical Sobolev and Hardy terms ⋮ Multiple positive solutions for a semilinear elliptic equation with critical Sobolev exponent ⋮ Multi-bubble nodal solutions to slightly subcritical elliptic problems with Hardy terms in symmetric domains ⋮ Extremal functions and best constants to an inequality involving Hardy potential and critical Sobolev exponent ⋮ Multiple positive solutions for a quasilinear elliptic equation involving singular potential and critical Sobolev exponent ⋮ Existence of sign-changing solutions for semilinear singular elliptic equations with critical Sobolev exponents ⋮ Some results on standing wave solutions for a class of quasilinear Schrödinger equations ⋮ Non-Nehari manifold method for Hamiltonian elliptic system with Hardy potential: existence and asymptotic properties of ground state solution ⋮ Unnamed Item ⋮ Asymptotic behavior of solutions to semilinear elliptic equations with Hardy potential ⋮ Ground states of \(K\)-component coupled nonlinear Schrödinger equations with inverse-square potential ⋮ Multiple solutions for elliptic problems with singular and sublinear potentials ⋮ On the generalised Brézis-Nirenberg problem ⋮ Sign-changing and symmetry-breaking solutions to singular problems ⋮ Isolated singularity for semilinear elliptic equations ⋮ Ground states for a nonhomogeneous elliptic system involving Hardy–Sobolev critical exponents
Cites Work
- Unnamed Item
- The concentration-compactness principle in the calculus of variations. The limit case. II
- Hardy inequalities and some critical elliptic and parabolic problems
- The role played by space dimension in elliptic critical problems
- Minimax theorems
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- The existence of a positive solution of semilinear elliptic equations with limiting Sobolev exponent
- On symmetric solutions of an elliptic equation with a nonlinearity involving critical Sobolev exponent
- Existence of solutions for singular critical growth semilinear elliptic equations
This page was built for publication: Elliptic problems with critical exponents and Hardy potentials.
