We consider a semilinear Robin problem with an indefinite linear part and a superlinear reaction term, which does not satisfy the usual in such cases AR condition. Using variational methods, together with truncation–perturbation techniques and Morse theory (critical groups), we establish the existence of three nontrivial solutions. Our result extends in different ways the multiplicity theorem of Wang.
|Number of pages||26|
|Journal||BULLETIN OF THE MALAYSIAN MATHEMATICAL SOCIETY|
|Publication status||Published - 2020|
All Science Journal Classification (ASJC) codes
- General Mathematics