Aramaki Junichi: Existence of nontrivial weak solutions for nonuniformly elliptic equation with mixed boundary condition in a variable exponent Sobolev space. (2023)
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Abstract
In this paper, we consider a mixed boundary value problem for nonuniformly elliptic equation in a variable exponent Sobolev space containing p(·)-Laplacian and mean curvature operator. More precisely, we are concerned with the problem with the Dirichlet condition on a part of the boundary and the Steklov boundary condition on an another part of the boundary. We show the existence of a nontrivial weak solution and at least two nontrivial weak solutions according to some hypotheses on given functions.
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2023 |
| Number: | 12 |
| ISSN: | 1417-3875 |
| Number of Pages: | 22 |
| Language: | English |
| Place of Publication: | Szeged |
| DOI: | 10.14232/ejqtde.2023.1.12 |
| Uncontrolled Keywords: | Laplace-egyenlet, Sobolev tér |
| Additional Information: | Bibliogr.: p. 20-22. ; összefoglalás angol nyelven |
| Date Deposited: | 2023. Nov. 16. 10:46 |
| Last Modified: | 2023. Nov. 16. 10:46 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/82262 |
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