6533b820fe1ef96bd1279558

RESEARCH PRODUCT

Nonlinear elliptic equations with asymmetric asymptotic behavior at $pminfty$

Pasquale CanditoRoberto LivreaNikolaos S. Papageorgiou

subject

Variational methodsNonlinear maximum principleResonanceAsymmetric reactionCritical groupNonlinear regularity

description

We consider a nonlinear, nonhomogeneous Dirichlet problem with reaction which is asymptotically superlinear at $+infty$ and sublinear at $-infty$. Using minimax methods together with suitable truncation techniques and Morse theory, we show that the problem has at least three nontrivial solutions one of which is negative.

yearjournalcountryeditionlanguage
2016-01-01
10.1016/j.nonrwa.2016.04.005http://hdl.handle.net/10447/258609