Journal
FORUM MATHEMATICUM
Volume 32, Issue 1, Pages 95-109Publisher
WALTER DE GRUYTER GMBH
DOI: 10.1515/forum-2019-0160
Keywords
Critical term; locally defined reaction; cut-off function; constant sign and nodal solutions; extremal solutions; critical groups
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Funding
- Piano della Ricerca 2016-2018-2010-linea di intervento 2: Metodi variazionali ed equazioni differenzial
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We consider a nonlinear parametric Robin problem. In the reaction, there are two terms, one critical and the other locally defined. Using cut-off techniques, together with variational tools and critical groups, we show that, for all small values of the parameter, the problem has at least three nontrivial smooth solutions all with sign information, which converge to zero in C-1((Omega) over bar) as the parameter lambda -> 0(+).
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