Multiplicity of semiclassical states solutions for a weakly coupled Schrödinger system with critical growth in divergent form

DOI10.1007/S11118-021-09966-5zbMath1518.35295OpenAlexW4205748329MaRDI QIDQ6103766

Segundo Manuel A. Salirrosas, Giovany M. Figueiredo

Publication date: 5 June 2023

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-021-09966-5

zbMATH Keywords

existence of positive solutionsSchrödinger equationcritical elliptic system

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order elliptic systems (35J47)

Cites Work

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• Multiple solutions for critical elliptic systems via penalization method.
• Positive solutions for some quasilinear equations with critical and supercritical growth
• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• Multiplicity of solutions for elliptic systems via local mountain pass method
• On a class of nonlinear Schrödinger equations
• Multiple positive solutions of some elliptic problems via the Morse theory and the domain topology
• Semi-classical states for nonlinear Schrödinger equations
• Multi-peak bound states for nonlinear Schrödinger equations
• Multiple semiclassical standing waves for a class of nonlinear Schrödinger equations
• Quasilinear Dirichlet problems in \(\mathbb R^N\) with critical growth.
• On concentration of positive bound states of nonlinear Schrödinger equations
• Local mountain passes for semilinear elliptic problems in unbounded domains
• Minimax theorems
• Multiple positive solutions to nonlinear Schrödinger equations with competing potential functions
• Concentration, existence of a ground state and multiplicity of solutions for a subcritical elliptic system via penalization method
• Multiplicity and concentration results for local and fractional NLS equations with critical growth
• On multiplicity and concentration behavior of solutions for a critical system with equations in divergence form
• Existence and concentration of positive solutions for a class of gradient systems
• Multiplicity of positive solutions for a class of elliptic equations in divergence form
• Local mountain pass for a class of elliptic system
• Standing waves for a system of nonlinear Schrödinger equations in R N
• Standing waves for nonlinear Schrödinger equations involving critical growth
• Systems of_p-laplacean equations involving homogeneous nonlinearities with critical sobolev exponent degrees
• On Concentration of Positive Bound States of Nonlinear Schrödinger Equations with Competing Potential Functions
• Spike-layered solutions of singularly perturbed elliptic problems in a degenerate setting

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