Resonant semilinear Robin problems with a general potential

作者：Papageorgiou Nikolaos S; Radulescu Vicentiu D^*; Repovs Dusan D

来源：Electronic Journal of Qualitative Theory of Differential Equations, 2017, (70): 1-15.

DOI：10.14232/ejqtde.2017.1.70

• resonant problem
• reduction method
• regularity theory
• indefinite and unbounded potential
• local linking

We consider a semilinear Robin problem driven by the Laplacian plus an indefinite and unbounded potential. The reaction term is a Caratheodory function which is resonant with respect to any nonprincipal eigenvalue both at +/-infinity and 0. Using a variant of the reduction method, we show that the problem has at least two nontrivial smooth solutions.

• 出版日期2017