Existence of least energy positive and nodal solutions for a quasilinear Schrödinger problem with potentials vanishing at infinity
From MaRDI portal
Publication:5154243
DOI10.1063/5.0015513zbMath1498.35499OpenAlexW3196708571WikidataQ114103861 ScholiaQ114103861MaRDI QIDQ5154243
Sandra Moreira Neto, Giovany M. Figueiredo, Ricardo Ruviaro
Publication date: 4 October 2021
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/5.0015513
Reaction-diffusion equations (35K57) NLS equations (nonlinear Schrödinger equations) (35Q55) Weak solutions to PDEs (35D30) Positive solutions to PDEs (35B09)
Cites Work
- Existence and concentration of ground state solutions for a subcubic quasilinear problem via Pohozaev manifold
- Nonlinear scalar field equations. I: Existence of a ground state
- A sign-changing solution for a superlinear Dirichlet problem
- Solutions for a quasilinear Schrödinger equation: a dual approach.
- On the existence of soliton solutions to quasilinear Schrödinger equations
- Structure of the set of positive solutions of a non-linear Schrödinger equation
- Soliton solutions for quasilinear Schrödinger equations. II.
- Existence of solutions for a class of nonlinear Schrödinger equations with potential vanishing at infinity
- Multiplicity of positive solutions for quasilinear elliptic equations involving critical nonlinearity
- Localized nodal solutions for quasilinear Schrödinger equations
- Existence of positive solutions for a class of quasilinear Schrödinger equations with local superlinear nonlinearities
- Fast and slow decaying solutions for \(H^{1}\)-supercritical quasilinear Schrödinger equations
- Multiple solutions for a class of singular quasilinear problems
- On positive solutions for a class of quasilinear elliptic equations
- Existence and concentration of ground states to a quasilinear problem with competing potentials
- Solutions for Quasilinear Schrödinger Equations via the Nehari Method
- Evolution theorem for a class of perturbed envelope soliton solutions
- Multiple nodal bound states for a quasilinear Schrödinger equation
- Existence of ground states for a modified nonlinear Schrödinger equation
- Soliton solutions for quasilinear Schrödinger equations, I
- Bifurcation and standing wave solutions for a quasilinear Schrödinger equation
- Least action nodal solutions for a quasilinear defocusing Schrödinger equation with supercritical nonlinearity
- Quasilinear Schrödinger equations with nonlinearities interacting with high eigenvalues
- Some results on standing wave solutions for a class of quasilinear Schrödinger equations
- On the existence of standing wave solutions to quasilinear Schrödinger equations
- Existence of solution for a class of quasilinear Schrödinger equation in \(\mathbb{R}^N\) with zero-mass
This page was built for publication: Existence of least energy positive and nodal solutions for a quasilinear Schrödinger problem with potentials vanishing at infinity