The Hardy-Schrödinger operator with interior singularity: the remaining cases
From MaRDI portal
Publication:1674637
DOI10.1007/s00526-017-1238-1zbMath1384.35012arXiv1612.08355OpenAlexW2583031111MaRDI QIDQ1674637
Nassif Ghoussoub, Frédéric Robert
Publication date: 25 October 2017
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1612.08355
Boundary value problems for second-order elliptic equations (35J25) Schrödinger operator, Schrödinger equation (35J10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
Related Items (20)
Sobolev inequalities for the Hardy-Schrödinger operator: extremals and critical dimensions ⋮ The second best constant for the Hardy-Sobolev inequality on manifolds ⋮ Existence and asymptotic behavior of ground state solutions for Schrödinger equations with Hardy potential and Berestycki-Lions type conditions ⋮ Mass and extremals associated with the Hardy-Schrödinger operator on hyperbolic space ⋮ The existence of a nontrivial weak solution to a double critical problem involving a fractional Laplacian in \(\mathbb{R}^N\) with a Hardy term ⋮ Existence results for nonlocal problems governed by the regional fractional Laplacian ⋮ The quasi-linear Brezis-Nirenberg problem in low dimensions ⋮ QUALITATIVE PROPERTIES FOR ELLIPTIC PROBLEMS WITH CKN OPERATORS ⋮ Existence results for fractional Brezis-Nirenberg type problems in unbounded domains ⋮ Nodal bubble tower solutions to slightly subcritical elliptic problems with Hardy terms ⋮ Mass and asymptotics associated to fractional Hardy–Schrödinger operators in critical regimes ⋮ Sign-changing solutions for critical equations with Hardy potential ⋮ Symmetry and monotonicity of a nonlinear Schrödinger equation involving the fractional Laplacian ⋮ Bifurcation analysis of the Hardy-Sobolev equation ⋮ Multi-bubble nodal solutions to slightly subcritical elliptic problems with Hardy terms in symmetric domains ⋮ Improved Sobolev inequalities involving weighted Morrey norms and the existence of nontrivial solutions to doubly critical elliptic systems involving fractional Laplacian and Hardy terms ⋮ Positive solution for a boundary singular semilinear equation with Hardy–Sobolev exponent ⋮ Hardy-Sobolev inequality with higher dimensional singularity ⋮ Existence of sharp asymptotic profiles of singular solutions to an elliptic equation with a sign-changing non-linearity ⋮ The Hardy-Schrödinger operator on the Poincaré ball: compactness, multiplicity, and stability of the Pohozaev obstruction
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sobolev inequalities for the Hardy-Schrödinger operator: extremals and critical dimensions
- Solutions for semilinear elliptic equations with critical exponents and Hardy potential
- Positive solutions for some singular critical growth nonlinear elliptic equations
- Solutions for semilinear elliptic problems with critical Sobolev-Hardy exponents and Hardy potential
- The effect of curvature on the best constant in the Hardy-Sobolev inequalities
- Conformal deformation of a Riemannian metric to constant scalar curvature
- Problèmes isoperimetriques et espaces de Sobolev
- The role played by space dimension in elliptic critical problems
- A note on the sign-changing solutions to elliptic problems with critical Sobolev and Hardy terms.
- Sign-changing solutions for elliptic problems with critical Sobolev-Hardy exponents
- Elliptic equations with critical Sobolev exponents in dimension 3
- Positive solutions for singular critical elliptic problems.
- Elliptic problems with critical exponents and Hardy potentials.
- Hardy-singular boundary mass and Sobolev-critical variational problems
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
- On the symmetry of extremals for the Caffarelli-Kohn-Nirenberg inequalities
- The principal eigenvalue and maximum principle for second‐order elliptic operators in general domains
- Optimal Sobolev inequalities and extremal functions. The three dimensional case
- Variational Methods
This page was built for publication: The Hardy-Schrödinger operator with interior singularity: the remaining cases