Solutions concentrating around the saddle points of the potential for two-dimensional Schrödinger equations
From MaRDI portal
Publication:2421790
DOI10.1007/s00033-019-1100-8zbMath1415.35015OpenAlexW2940528258MaRDI QIDQ2421790
João Marcos Bezerra do Ó, Pawan Kumar Mishra, Jian Jun Zhang
Publication date: 18 June 2019
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-019-1100-8
Singular perturbations in context of PDEs (35B25) Critical exponents in context of PDEs (35B33) Semilinear elliptic equations (35J61)
Related Items (3)
Planar Kirchhoff equations with critical exponential growth and trapping potential ⋮ Existence and concentration of solutions to Kirchhoff-type equations in \(\mathbb{R}^2\) with steep potential well vanishing at infinity and exponential critical nonlinearities ⋮ Bound state solutions for Kirchhoff type equations in dimension two
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence of a positive solution for a nonlinear elliptic equation with saddle-like potential and nonlinearity with exponential critical growth in \({\mathbb{R}^{2}}\)
- Semi-classical standing waves for nonlinear Schrödinger equations at structurally stable critical points of the potential
- Semiclassical states for the nonlinear Schrödinger equation on saddle points of the potential via variational methods
- Elliptic equations and systems with subcritical and critical exponential growth without the Ambrosetti-Rabinowitz condition
- Elliptic equations and systems with critical Trudinger-Moser nonlinearities
- Existence of a ground state solution for a nonlinear scalar field equation with critical growth
- Nonlinear scalar field equations. I: Existence of a ground state
- Standing waves for nonlinear Schrödinger equations involving critical growth of Trudinger-Moser type
- The concentration-compactness principle in the calculus of variations. The limit case. II
- On a class of nonlinear Schrödinger equations
- Elliptic equations in \(R^ 2\) with nonlinearities in the critical growth range
- Semi-classical states for nonlinear Schrödinger equations
- On nonlinear perturbations of a periodic elliptic problem in \(\mathbb R^2\) involving critical growth.
- Standing waves with a critical frequency for nonlinear Schrödinger equations
- \(N\)-Laplacian equations in \(\mathbb{R}^N\) with critical growth
- Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
- Semi-classical states of nonlinear Schrödinger equations: a variational reduction method
- Local mountain passes for semilinear elliptic problems in unbounded domains
- Multi-bump solutions for singularly perturbed Schrödinger equations in \(\mathbb{R}^2\) with general nonlinearities
- Mountain pass solutions for singularly perturbed nonlinear Dirichlet problems
- Standing waves for nonlinear Schrödinger equations with a general nonlinearity
- Solutions of perturbed Schrödinger equations with critical nonlinearity
- Standing waves for nonlinear Schrödinger equations involving critical growth
- Existence of Semiclassical Bound States of Nonlinear Schrödinger Equations with Potentials of the Class (V)a
- Standing Waves for Nonlinear Schrodinger Equations with a General Nonlinearity: One and Two Dimensional Cases
- Singularly perturbed nonlinear Dirichlet problems with a general nonlinearity
- Nontrivial Solution of Semilinear Elliptic Equations with Critical Exponent in R
- Spike-layered solutions of singularly perturbed elliptic problems in a degenerate setting
- A remark on least energy solutions in $\mathbf {R}^N$
- On the location and profile of spike‐layer solutions to singularly perturbed semilinear dirichlet problems
- Existence of multi-bumb solutions for nonlinear schrödinger equations via variational method
- On harnack type inequalities and their application to quasilinear elliptic equations
- On a class of nonlinear Schrödinger equations in \(\mathbb R^2\) involving critical growth
- Solutions concentrating around the saddle points of the potential for critical Schrödinger equations
This page was built for publication: Solutions concentrating around the saddle points of the potential for two-dimensional Schrödinger equations
