Nonexistence and multiplicity of solutions for nonlinear elliptic systems in \(\mathbb{R}^N\)

DOI10.1016/j.nonrwa.2017.01.012zbMath1368.35109OpenAlexW2588726958MaRDI QIDQ518737

Shiwang Ma, Guan-Wei Chen

Publication date: 30 March 2017

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2017.01.012

zbMATH Keywords

nonlinear elliptic systems

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60)

Related Items

Ground states of nonlinear Schrödinger systems with periodic or non-periodic potentials ⋮ Existence and multiplicity of solutions for semilinear elliptic systems with periodic potential ⋮ Existence and multiplicity of nontrivial solutions for nonlinear Schrödinger equations with unbounded potentials

Cites Work

• Unnamed Item
• Multiple solutions of superlinear cooperative elliptic systems at resonant
• Nontrivial solutions for resonant cooperative elliptic systems via computations of the critical groups
• Infinitely many solutions for cooperative elliptic systems with odd nonlinearity
• Solutions for resonant elliptic systems with nonodd or odd nonlinearities
• A variational approach to subquadratic perturbations of elliptic systems
• Asymptotically linear cooperative elliptic system: existence and multiplicity
• Minimax theorems
• Infinitely many solutions for resonant cooperative elliptic systems with sublinear or superlinear terms
• Erratum to: ``Infinitely many solutions for resonant cooperative elliptic systems with sublinear or superlinear terms
• Nontrivial solutions for resonant cooperative elliptic systems via computations of critical groups
• Multiple solutions for asymptotically linear elliptic systems
• Variant fountain theorems and their applications