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arXiv:2004.13306 [math.AP]AbstractReferencesReviewsResources

Ground state and nodal solutions for a class of double phase problems

Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš

Published 2020-04-28Version 1

We consider a double phase problem driven by the sum of the $p$-Laplace operator and a weighted $q$-Laplacian ($q<p$), with a weight function which is not bounded away from zero. The reaction term is $(p-1)$-superlinear. Employing the Nehari method, we show that the equation has a ground state solution of constant sign and a nodal (sign-changing) solution.

Journal: Z. Angew. Math. Phys. 71:1 (2020), art. 15, 15 pp
Categories: math.AP
Subjects: 35J60, 35D05
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