Multiplicity of nontrivial solutions for a class of superquadratic elliptic systems near resonance

Abstract

Abstract Multiple solutions for a class of superquadratic elliptic systems near resonance with high eigenvalues are obtained by using the nabla theorem due to Marino and Saccon in (Topol. Methods Nonlinear Anal. 17:213-237, 2001) and the linking theorem.

Keywords

• elliptic systems
• superquadratic condition
• ( C e ) c ∗ $(Ce)^{*}_{c}$ condition
• nabla theorem
• linking theorem