Resonant (p, 2)-equations with asymmetric reaction

作者：Papageorgiou Nikolaos S^*; Radulescu Vicentiu D

来源：Analysis and Applications, 2015, 13(5): 481-506.

DOI：10.1142/S0219530514500134

• (p, 2)-Equation
• resonance
• nonlinear regularity
• critical groups
• Picone's identity

We consider a nonlinear, nonhomogeneous Dirichlet problem driven by the sum of a p-Laplacian and a Laplacian, 2 < p < infinity (( p, 2)-equation) and with a reaction which exhibits asymmetric behavior at vertical bar infinity and at -infinity and is resonant. Using variational methods together with Morse theoretic arguments, we prove the existence of two and three nontrivial solutions.

• 出版日期2015-9