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arXiv · 2105.06726

Positive solutions for singular double phase problems

Nikolaos S. Papageorgiou·Dušan D. Repovš·Calogero Vetro
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Abstract

We study the existence of positive solutions for a class of double phase Dirichlet equations which have the combined effects of a singular term and of a parametric superlinear term. The differential operator of the equation is the sum of a $p$-Laplacian and of a weighted $q$-Laplacian ($q 0$, the equation has at least two positive solutions.

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Nikolaos S. Papageorgiou, Dušan D. Repovš, Calogero Vetro. 2021-05-14. Positive solutions for singular double phase problems. https://doi.org/10.1016/j.jmaa.2020.123896

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