Pohožaev method and nontrivial ground state solutions for a class of quasilinear Schrödinger system
From MaRDI portal
Publication:6668571
DOI10.1007/s11784-024-01156-1MaRDI QIDQ6668571
Zai-Yun Zhang, Jie Liu, Jiannan Chen, Yongqi Chen, Yu Yang
Publication date: 22 January 2025
Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)
Variational methods applied to PDEs (35A15) Variational methods for elliptic systems (35J50) Elliptic equations and elliptic systems (35Jxx)
Cites Work
- Sign-changing solutions for coupled nonlinear Schrödinger equations with critical growth
- Existence of semiclassical states for a quasilinear Schrödinger equation with critical exponent in \(\mathbb{R}^N\)
- Semiclassical limits of ground state solutions to Schrödinger systems
- Positive least energy solutions and phase separation for coupled Schrödinger equations with critical exponent: higher dimensional case
- Semiclassical states for weakly coupled fractional Schrödinger systems
- Nonlinear scalar field equations. I: Existence of a ground state
- The concentration-compactness principle in the calculus of variations. The locally compact case. I
- Characterization of ground-states for a system of \(M\) coupled semilinear Schrödinger equations and applications
- Multiple bound states of nonlinear Schrödinger systems
- A priori bounds versus multiple existence of positive solutions for a nonlinear Schrödinger system
- Radial solutions and phase separation in a system of two coupled Schrödinger equations
- Multipulse phases in k-mixtures of Bose-Einstein condensates
- Elliptic partial differential equations of second order
- On the existence of soliton solutions to quasilinear Schrödinger equations
- Quasilinear elliptic equations with critical growth via perturbation method
- Orbital stability of solitary waves for generalized derivative nonlinear Schrödinger equations in the endpoint case
- Soliton solutions for quasilinear Schrödinger equations. II.
- Ground states for quasilinear Schrödinger equations with critical growth
- Multiple mixed states of nodal solutions for nonlinear Schrödinger systems
- Bifurcation analysis for a modified quasilinear equation with negative exponent
- Positive least energy solutions for \(k\)-coupled Schrödinger system with critical exponent: the higher dimension and cooperative case
- Normalized solution to the Schrödinger equation with potential and general nonlinear term: mass super-critical case
- Localized nodal solutions for quasilinear Schrödinger equations
- Soliton solutions for a class of quasilinear Schrödinger equations with a parameter
- Existence of positive solutions for supercritical quasilinear Schrödinger elliptic equations
- Blow-up phenomena and asymptotic profiles of ground states of quasilinear elliptic equations with \(H^1\)-supercritical nonlinearities
- Semiclassical states for weakly coupled nonlinear Schrödinger systems
- Ground state of \(N\) coupled nonlinear Schrödinger equations in \(\mathbb R^n\), \(n \leq 3\)
- Positive solution for a quasilinear elliptic equation involving critical or supercritical exponent
- A note on concentration for blowup solutions to supercritical Schrödinger equations
- Multiple Sign-Changing Solutions for Quasilinear Elliptic Equations via Perturbation Method
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- Solutions for Quasilinear Schrödinger Equations via the Nehari Method
- Nash moser methods for the solution of quasilinear schrödinger equations
- Variational Methods
- Quasilinear asymptotically periodic Schrödinger equations with critical growth
- Solutions concentrating around the saddle points of the potential for critical Schrödinger equations
- Least energy positive solutions for \(d\)-coupled Schrödinger systems with critical exponent in dimension three
This page was built for publication: Pohožaev method and nontrivial ground state solutions for a class of quasilinear Schrödinger system