Multiple solutions with sign information for Robin equations with indefinite potential
In this paper, we study a Robin boundary value problem driven by the Laplace operator plus an indefinite potential term. The reaction is of the logistic type. Using variational methods together with truncations, comparisons and critical groups, we prove two multiplicity theorems producing smooth sol...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
World Scientific Publishing
2025-04-01
|
| Series: | Bulletin of Mathematical Sciences |
| Subjects: | |
| Online Access: | https://www.worldscientific.com/doi/10.1142/S1664360724500139 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | In this paper, we study a Robin boundary value problem driven by the Laplace operator plus an indefinite potential term. The reaction is of the logistic type. Using variational methods together with truncations, comparisons and critical groups, we prove two multiplicity theorems producing smooth solutions with sign information. A special case, which we encounter in the literature, is also considered. |
|---|---|
| ISSN: | 1664-3607 1664-3615 |