Single‐peak solutions for a subcritical Schrödinger equation with non‐power nonlinearity
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Publication:6074620
DOI10.1002/mana.202100606zbMath1525.35085MaRDI QIDQ6074620
ZhongYuan Liu, Wenhuan Xu, Ziying Liu
Publication date: 12 October 2023
Published in: Mathematische Nachrichten (Search for Journal in Brave)
NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger operator, Schrödinger equation (35J10) Existence problems for PDEs: global existence, local existence, non-existence (35A01)
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Cites Work
- Unnamed Item
- Infinitely many solutions for the Schrödinger equations in \(\mathbb R^N\) with critical growth
- A solution to a slightly subcritical elliptic problem with non-power nonlinearity
- Multi-bump bound states of Schrödinger equations with a critical frequency
- Standing waves for supercritical nonlinear Schrödinger equations
- Existence of positive solutions of the equation \(-\Delta u+a(x)u=u^{(N+2)/(N-2)}\) in \({\mathbb{R}}^ N\)
- Infinitely many solutions for the prescribed scalar curvature problem on \(\mathbb S^N\)
- Blow-up behavior of ground states of semilinear elliptic equations in \(R^ n\) involving critical Sobolev exponents
- Semiclassical states of nonlinear Schrödinger equations
- On a singularly perturbed elliptic equation
- Standing waves with a critical frequency for nonlinear Schrödinger equations. II.
- Standing waves with a critical frequency for nonlinear Schrödinger equations
- Two-bubble solutions in the super-critical Bahri-Coron's problem
- Construction of solutions via local Pohozaev identities
- Existence of sign changing solutions for some critical problems on \(\mathbb R^N\)
- Super-position of spikes for a slightly super-critical elliptic equation in \(\mathbb R^N\)
- On concentration of positive bound states of nonlinear Schrödinger equations
- On positive multi-lump bound states of nonlinear Schrödinger equations under multiple well potential
- Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
- Semi-classical states of nonlinear Schrödinger equations: a variational reduction method
- Existence of blowing-up solutions for a slightly subcritical or a slightly supercritical nonlinear elliptic equation on \(\mathbb R^n\)
- Multi-bump standing waves with a critical frequency for nonlinear Schrödinger equations
- Nonexistence of single blow-up solutions for a nonlinear Schrödinger equation involving critical Sobolev exponent
- Local mountain passes for semilinear elliptic problems in unbounded domains
- On location of blow-up of ground states of semilinear elliptic equations in \(\mathbb{R}^ n\) involving critical Sobolev exponents
- Bubble solutions for Hénon type equation with nearly critical exponent in \(\mathbb{R}^N\)
- Infinitely many solutions for cubic nonlinear Schrödinger equations in dimension four
- Multi-peak standing waves for nonlinear Schrödinger equations with a general nonlinearity
- On the number of blowing-up solutions to a nonlinear elliptic equation with critical growth
- Standing waves for nonlinear Schrödinger equations with a general nonlinearity
- Standing waves for nonlinear Schrödinger equations involving critical growth
- Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
- Existence of Semiclassical Bound States of Nonlinear Schrödinger Equations with Potentials of the Class (V)a
- Multiscale-bump standing waves with a critical frequency for nonlinear Schrödinger equations
- Existence of multi-bumb solutions for nonlinear schrödinger equations via variational method
- Multiplicity results for some nonlinear Schrödinger equations with potentials
- Solutions concentrating around the saddle points of the potential for critical Schrödinger equations
