Least action nodal solutions for a quasilinear defocusing Schrödinger equation with supercritical nonlinearity
From MaRDI portal
Publication:5225772
DOI10.1142/S0219199718500268zbMath1421.35071OpenAlexW2804900369MaRDI QIDQ5225772
Jiazheng Zhou, Carlos Alberto Santos, Min-Bo Yang
Publication date: 23 July 2019
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219199718500268
Nonlinear elliptic equations (35J60) NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger operator, Schrödinger equation (35J10) Variational methods for second-order elliptic equations (35J20)
Related Items (19)
Existence of least energy nodal solution for Kirchhoff-Schrödinger-Poisson system with potential vanishing ⋮ Ground state sign-changing solutions for a class of quasilinear Schrödinger equations ⋮ Quasilinear Schrödinger equations involving singular potentials ⋮ On the existence of nontrivial solutions for quasilinear Schrödinger systems ⋮ Multiple solutions for quasilinear Schrödinger equations involving local nonlinearity term ⋮ Existence of sign-changing solutions for Kirchhoff equations with critical or supercritical nonlinearity ⋮ On a defocusing quasilinear Schrödinger equation with singular term ⋮ Quasilinear Schrödinger equations with unbounded or decaying potentials in dimension 2 ⋮ Existence of positive solutions for a class of quasilinear Schrödinger equation with critical exponent ⋮ Concentrating positive solutions for quasilinear Schrödinger equations involving steep potential Well ⋮ Global multiplicity of solutions to a defocusing quasilinear Schrödinger equation with the singular term ⋮ Unnamed Item ⋮ Existence of least energy positive and nodal solutions for a quasilinear Schrödinger problem with potentials vanishing at infinity ⋮ Positive solutions for a class of quasilinear Schrödinger equations with two parameters ⋮ Multiple solutions for elliptic equations with quasilinear perturbation ⋮ Sign-changing solutions for fractional Kirchhoff-type equations with critical and supercritical nonlinearities ⋮ Some results on standing wave solutions for a class of quasilinear Schrödinger equations ⋮ Nodal solutions for quasilinear Schrödinger equations with asymptotically 3-linear nonlinearity ⋮ Positive solutions for critical quasilinear Schrödinger equations with potentials vanishing at infinity
Cites Work
- Unnamed Item
- Multiple solutions to a class of generalized quasilinear Schrödinger equations with a Kirchhoff-type perturbation
- Infinitely many sign-changing solutions for quasilinear Schrödinger equations in \({\mathbb R}^N\)
- Nodal solutions for a quasilinear Schrödinger equation with critical nonlinearity and non-square diffusion
- Partial symmetry of least energy nodal solutions to some variational problems
- Superlinear elliptic boundary value problems with rotational symmetry
- On the existence of soliton solutions to quasilinear Schrödinger equations
- Quasilinear elliptic equations with critical growth via perturbation method
- Soliton solutions for quasilinear Schrödinger equations. II.
- A note on additional properties of sign changing solutions to superlinear elliptic equations
- Minimax theorems
- Soliton solutions for a class of quasilinear Schrödinger equations with a parameter
- Existence and concentration behavior of sign-changing solutions for quasilinear Schrödinger equations
- Multiple Sign-Changing Solutions for Quasilinear Elliptic Equations via Perturbation Method
- A Sign-Changing Solution for an Asymptotically Linear Schrödinger Equation
- Solutions for Quasilinear Schrödinger Equations via the Nehari Method
- Soliton solutions for quasilinear Schrödinger equations, I
- Quasilinear elliptic equations via perturbation method
- Nodal soliton solutions for generalized quasilinear Schrödinger equations
- Nodal soliton solutions for quasilinear Schrödinger equations with critical exponent
This page was built for publication: Least action nodal solutions for a quasilinear defocusing Schrödinger equation with supercritical nonlinearity
