Affiliation:
1. Department of Mathematics Education, Sangmyung University, Seoul 03016, Republic of Korea
Abstract
This paper is devoted to double phase anisotropic variational problems for the case of a combined effect of concave–convex nonlinearities when the convex term does not require the Ambrosetti–Rabinowitz condition. The aim of the present paper, on a class of superlinear term which is different from the previous related works, is to discuss the multiplicity result of non-trivial solutions by applying the dual fountain theorem as the main tool. In particular, our main result is obtained without assuming the conditions on the nonlinear term at infinity.
Subject
Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis