Existence of solutions for a class of noncooperative elliptic systems

DOI10.1016/j.jmaa.2010.04.043zbMath1196.35085OpenAlexW2053969990MaRDI QIDQ984759

Chun-Lei Tang, Xiao-Feng Ke

Publication date: 20 July 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.04.043

zbMATH Keywords

critical pointlinkingresonancesuperlinear growthnoncooperative elliptic systems

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Semilinear elliptic equations (35J61) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91) Boundary value problems for second-order elliptic systems (35J57)

Related Items

Existence of nontrivial solutions of \(p\)-Laplacian equation with sign-changing weight functions ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multiple solutions for elliptic systems with nonlinearities of arbitrary growth
• Nonuniformly nonlinear elliptic equations of \(p\)-biharmonic type
• Superlinear problems without Ambrosetti and Rabinowitz growth condition
• Singular solutions of the \(p\)-Laplace equation
• Variational identities and applications to differential systems
• Elliptic equations in \(R^ 2\) with nonlinearities in the critical growth range
• Resonance problems for the \(p\)-Laplacian
• Existence and uniqueness of positive solutions to certain differential systems
• Differential systems with strongly indefinite variational structure
• Multiplicity of solutions for a fourth-order quasilinear nonhomogeneous equation
• Sign-changing solutions for some fourth-order nonlinear elliptic problems
• Elliptic systems with nonlinearities of arbitrary growth
• Positive splutions of semilinear elliptic systems
• A rellich type identity and applications
• On Superquadratic Elliptic Systems
• Variational elliptic problems which are nonquadratic at infinity
• Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis
• Asymptotically linear Dirichlet problem for the \(p\)-Laplacian