The existence of solutions for a class of semilinear elliptic systems

DOI10.1016/J.NA.2010.06.031zbMath1198.35080OpenAlexW2093371214MaRDI QIDQ992818

Xian Wu, Shengzhong Duan

Publication date: 10 September 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.06.031

zbMATH Keywords

weak solutionsemilinear elliptic systemsvariational methods

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Weak solutions to PDEs (35D30) Second-order elliptic systems (35J47) Boundary value problems for second-order elliptic systems (35J57)

Related Items (6)

Multiplicity of small negative-energy solutions for a class of semilinear elliptic systems ⋮ Ground state solutions for a class of semilinear elliptic systems with sum of periodic and vanishing potentials ⋮ Existence and multiplicity results for some elliptic systems with discontinuous nonlinearities ⋮ On some quasilinear elliptic systems with singular and sign-changing potentials ⋮ Ground state of semilinear elliptic systems with sum of periodic and Hardy potentials ⋮ Existence and multiplicity of solutions for semilinear elliptic systems with periodic potential

Cites Work

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• A unified approach to a class of strongly indefinite functionals
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• Multiplicity of solutions for resonant elliptic systems
• Existence results for perturbations of the p-Laplacian
• Multiple solutions of semilinear elliptic problems at resonance
• Periodic Solutions of Nonlinear Hyperbolie Partial Differential Equations
• Multiple solutions for asymptotically linear elliptic systems

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