Ground states for a class of critical quasilinear coupled superlinear elliptic systems

DOI10.1016/j.camwa.2019.08.004zbMath1448.35172OpenAlexW2971461072MaRDI QIDQ2004563

Maxwell L. Silva, José Carlos de Albuquerque, Edcarlos D. Da Silva

Publication date: 7 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2019.08.004

zbMATH Keywords

Nehari manifoldquasilinear elliptic systemsexistence of positive ground state solutions

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order elliptic systems (35J47) Quasilinear elliptic equations (35J62)

Related Items (1)

Periodic and asymptotically periodic quasilinear elliptic systems

Cites Work

• Existence of solutions for a quasilinear Schrödinger equation with subcritical nonlinearities
• Positive soliton solutions for generalized quasilinear Schrödinger equations with critical growth
• Existence of ground state solutions for a quasilinear Schrödinger equation with critical growth
• Multiple positive solutions for linearly coupled nonlinear elliptic systems with critical exponent
• Ground state solutions for quasilinear 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
• Soliton solutions for quasilinear Schrödinger equations with critical growth
• Quasilinear asymptotically periodic Schrödinger equations with subcritical growth
• Positive solutions for a weakly coupled nonlinear Schrödinger system
• Solitary waves for quasilinear Schrödinger equations
• On a class of nonlinear Schrödinger equations
• Global existence of small solutions to a relativistic nonlinear Schrödinger equation
• Semiclassical states of nonlinear Schrödinger equations
• Solutions for a quasilinear Schrödinger equation: a dual approach.
• Existence of ground state solutions for a class of quasilinear Schrödinger equations with general critical nonlinearity
• Soliton solutions for quasilinear Schrödinger equations. II.
• Minimax theorems
• Weakly coupled nonlinear Schrödinger systems: the saturation effect
• Ground state solutions for quasilinear stationary Schrödinger equations with critical growth
• Standing waves for a coupled system of nonlinear Schrödinger equations
• Bound and ground states of coupled nonlinear Schrödinger equations
• Quasilinear elliptic problems under asymptotically linear conditions at infinity and at the origin
• Multi-bump solitons to linearly coupled systems of nonlinear Schrödinger equations
• On linearly coupled Schrödinger systems
• Quasilinear Schrödinger Equations with Asymptotically Linear Nonlinearities
• Existence of solution for a generalized quasilinear elliptic problem
• Existence, multiplicity, and concentration of solutions for generalized quasilinear Schrödinger equations with critical growth
• Evolution theorem for a class of perturbed envelope soliton solutions
• Existence and multiplicity results for some superlinear elliptic problems on R^N
• Standing waves of some coupled nonlinear Schrödinger equations
• Nodal soliton solutions for quasilinear Schrödinger equations with critical exponent
• Quasilinear asymptotically periodic Schrödinger equations with critical growth

This page was built for publication: Ground states for a class of critical quasilinear coupled superlinear elliptic systems