Let Ω be a bounded smooth domain in RN. We study the existence of positive solutions to the Dirichlet problem
where 1<r<s≤2, and λ>0. In particular, we answer to some questions posed in the recent paper [3] where this problem was considered.
Giovanni Anello
Abstract:
Let Ω be a bounded smooth domain in RN.
We study the existence of positive solutions to the Dirichlet problem
where 1<r<s≤2, and λ>0. In particular, we answer to some questions posed
in the recent paper [3] where this problem was considered.
Submitted October 1, 2020. Published April 20, 2021.
Math Subject Classifications: 35J20, 35J25.
Key Words: Positive solution; non-Lipschitz nonlinearity; variational methods.
DOI: https://doi.org/10.58997/ejde.2021.30
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Giovanni Anello Dept. of Mathematics and Computer Science Physical Science and Earth Science University of Messina Viale F. Stagno d'Alcontres 31 Messina, Italy email: ganello@unime.it |
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