Eigenvalue problems with unbalanced growth: Nonlinear patterns and standing wave solutions

Abstract

We consider two classes of nonlinear eigenvalue problems with double-phase energy and lack of compactness. We establish existence and non-existence results and related properties of solutions. Our analysis combines variational methods with the generalized Pucci-Serrin maximum principle.

References in corpus (2)

• Double phase transonic flow problems with variable growth: nonlinear patterns and stationary waves
• Quasilinear elliptic equations in $\RN$ via variational methods and Orlicz-Sobolev embeddings