Existence and concentration phenomena for a class of indefinite variational problems with critical growth
From MaRDI portal
Publication:2286808
DOI10.1007/s11118-018-9734-2zbMath1433.35022arXiv1801.08138OpenAlexW2963556506MaRDI QIDQ2286808
Geilson F. Germano, Claudianor Oliveira Alves
Publication date: 22 January 2020
Published in: Potential Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.08138
Schrödinger operator, Schrödinger equation (35J10) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61)
Related Items (3)
Ground state solutions for a class of strongly indefinite Choquard equations ⋮ A Berestycki–Lions type result for a class of degenerate elliptic problems involving the Grushin operator ⋮ Existence of solution for a class of indefinite variational problems with discontinuous nonlinearity
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence and nonexistence of maximizers for variational problems associated with Trudinger--Moser type inequalities in \({\mathbb{R}^N}\)
- Periodic nonlinear Schrödinger equation with application to photonic crystals
- The concentration-compactness principle in the calculus of variations. The limit case. I
- Ground state solutions for some indefinite variational problems
- Elliptic equations in \(R^ 2\) with nonlinearities in the critical growth range
- Ground state solution for a class of indefinite variational problems with critical growth
- A sharp Trudinger-Moser type inequality for unbounded domains in \(\mathbb R^2\)
- Generalized linking theorem with an application to a semilinear Schrödinger equation
- On a class of semilinear Schrödinger equations with indefinite linear part
- Trudinger-Moser inequality on the whole plane with the exact growth condition
- On a Schrödinger equation with periodic potential and critical growth in \(\mathbb{R}^{2}\)
- Non-Nehari manifold method for asymptotically periodic Schrödinger equations
- On a semilinear Schrödinger equation with critical Sobolev exponent
- A Moser-type inequality in Lorentz–Sobolev spaces for unbounded domains in RN
- Trudinger-Moser Inequalities with the Exact Growth Condition in ℝNand Applications
- Nontrivial Solution of Semilinear Elliptic Equations with Critical Exponent in R
- On a semilinear Schrödinger equation with periodic potential
- AN ASYMPTOTICALLY PERIODIC SCHRÖDINGER EQUATION WITH INDEFINITE LINEAR PART
- Ground state solutions for asymptotically periodic Schrödinger equations with indefinite linear part
- New Super-quadratic Conditions for Asymptotically Periodic Schrödinger Equations
- On perturbations of a class of a periodic \(m\)-Laplacian equation with critical growth
This page was built for publication: Existence and concentration phenomena for a class of indefinite variational problems with critical growth