We consider a parametric double phase Dirichlet problem. Using variational tools together with suitable truncation and comparison techniques, we show that for all parametric values λ > λ- the problem has at least three nontrivial solutions, two of which have constant sign. Also, we identify the critical parameter λ precisely in terms of the spectrum of the q-Laplacian.
Papageorgiou N.S., Vetro C., Vetro F. (2020). Multiple solutions for parametric double phase Dirichlet problems. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 23(4), 1-18 [10.1142/S0219199720500066].
Multiple solutions for parametric double phase Dirichlet problems
Vetro C.
;
2020-02-21
Abstract
We consider a parametric double phase Dirichlet problem. Using variational tools together with suitable truncation and comparison techniques, we show that for all parametric values λ > λ- the problem has at least three nontrivial solutions, two of which have constant sign. Also, we identify the critical parameter λ precisely in terms of the spectrum of the q-Laplacian.
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