We consider a parametric double phase Dirichlet problem. In the reaction there is a superlinear perturbation term which satisfies a weak Nehari-type monotonicity condition. Using the Nehari manifold method, we show that for all parameters below a critical value, the problem has at least three nontrivial solutions all with sign information. The critical parameter value is precisely identified in terms of the spectrum of the lower exponent part of the differential operator.

Papageorgiou N.S., Vetro C., Vetro F. (2022). Least Energy Solutions with Sign Information for Parametric Double Phase Problems. RESULTS IN MATHEMATICS, 77(1), 1-22 [10.1007/s00025-021-01556-6].

Least Energy Solutions with Sign Information for Parametric Double Phase Problems

Vetro C.;
2022-02-01

Abstract

We consider a parametric double phase Dirichlet problem. In the reaction there is a superlinear perturbation term which satisfies a weak Nehari-type monotonicity condition. Using the Nehari manifold method, we show that for all parameters below a critical value, the problem has at least three nontrivial solutions all with sign information. The critical parameter value is precisely identified in terms of the spectrum of the lower exponent part of the differential operator.
feb-2022
Settore MAT/05 - Analisi Matematica
Papageorgiou N.S., Vetro C., Vetro F. (2022). Least Energy Solutions with Sign Information for Parametric Double Phase Problems. RESULTS IN MATHEMATICS, 77(1), 1-22 [10.1007/s00025-021-01556-6].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/529949
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