Arbitrarily small weak solutions for a nonlinear eigenvalue problem in Orlicz-Sobolev spaces

作者：Bonanno Gabriele; Bisci Giovanni Molica; Radulescu Vicentiu^*

来源：Monatshefte fur Mathematik, 2012, 165(3-4): 305-318.

DOI：10.1007/s00605-010-0280-2

• Critical point
• Weak solutions
• Non-homogeneous Neumann problem

Under an appropriate oscillating behavior of the nonlinear term, the existence of a determined open interval of positive parameters for which an eigenvalue non-homogeneous Neumann problem admits infinitely many weak solutions that strongly converges to zero, in an appropriate Orlicz-Sobolev space, is proved. Our approach is based on variational methods. The abstract result of this paper is illustrated by a concrete case.

• 出版日期2012-3