Positive solution to Schrödinger equation with singular potential and double critical exponents
From MaRDI portal
Publication:2039117
DOI10.4171/RLM/910zbMath1468.35042OpenAlexW3129979615MaRDI QIDQ2039117
Publication date: 2 July 2021
Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4171/rlm/910
NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger operator, Schrödinger equation (35J10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20) Positive solutions to PDEs (35B09)
Related Items
Nehari–Pohožaev-type ground state solutions of Kirchhoff-type equation with singular potential and critical exponent ⋮ Pohožaev-type ground state solutions for Choquard equation with singular potential and critical exponent ⋮ Existence of ground‐state solutions for p‐Choquard equations with singular potential and doubly critical exponents ⋮ Critical Kirchhoff-type equation with singular potential ⋮ Ground state solutions for nonlinear Choquard equation with singular potential and critical exponents ⋮ Unnamed Item ⋮ Critical quasilinear equations with singular potentials via perturbation method ⋮ Ground state solutions for critical Choquard equation with singular potential: existence and regularity
Cites Work
- Unnamed Item
- Nonlinear biharmonic problems with singular potentials
- Compactness and existence results for the \(p\)-Laplace equation
- Sum of weighted Lebesgue spaces and nonlinear elliptic equations
- Elliptic equations with decaying cylindrical potentials and power-type nonlinearities
- On positive entire solutions to a class of equations with a singular coefficient and critical exponent
- On the existence of positive solutions for a class of singular elliptic equations
- Critical exponents of weighted Sobolev embeddings for radial functions
- A strong maximum principle for some quasilinear elliptic equations
- Weighted Sobolev embedding with unbounded and decaying radial potentials
- Compactness and existence results in weighted Sobolev spaces of radial functions. II: Existence
- Multiple nonradial solutions for a nonlinear elliptic problem with singular and decaying radial potential
- A nonlinear elliptic equation with singular potential and applications to nonlinear field equations
- A note on nonlinear elliptic problems with singular potentials
- Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- NONLINEAR SCHRÖDINGER EQUATIONS WITH UNBOUNDED AND DECAYING RADIAL POTENTIALS
- Asymptotic states for equations of reaction and diffusion
- Variational Methods in Nonlinear Field Equations
- A nonexistence result for a nonlinear elliptic equation with singular and decaying potential
- 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
- Nonexistence of positive radial solutions for a problem with singular potential
- Variational Methods