Nonexistence and multiplicity of nontrivial solutions for some nonuniformly nonlinear systems

DOI10.1007/S11587-012-0137-1zbMath1309.35024OpenAlexW2009258734MaRDI QIDQ480308

Ghasem Alizadeh Afrouzi, Zohreh Naghizadeh

Publication date: 8 December 2014

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11587-012-0137-1

zbMATH Keywords

weak solutionmountain pass theoremminimum principlenonuniformly nonlinear system

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for elliptic systems (35J50) Weak solutions to PDEs (35D30) Higher-order elliptic systems (35J48) Boundary value problems for second-order elliptic systems (35J57)

Related Items (1)

Multiple solutions for a nonlocal problem in Orlicz-Sobolev spaces

Cites Work

• Unnamed Item
• Nontrivial solutions for \(p\)-Laplacian systems
• Quasilinear elliptic systems with critical Sobolev exponents in \(\mathbb {R}^N\)
• Existence results for some nonlinear elliptic systems
• On a class of degenerate and singular elliptic systems in bounded domains
• On some nonlinear elliptic systems
• Existence results for the positive solutions of nonlinear elliptic systems
• Dual variational methods in critical point theory and applications
• Multiple nonsemitrivial solutions for quasilinear elliptic systems

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