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http://hdl.handle.net/10773/14984| Title: | Nodal solutions for (p, 2)-equations |
| Author: | Aizicovici, S. Papageorgiou, N. S. Staicu, V. |
| Keywords: | Nodal and constant sign solutions Critical groups Strong comparison principle Critical point of mountain pass type Shifting theorem Morse relation Local minimizers |
| Issue Date: | Oct-2015 |
| Publisher: | American Mathematical Society |
| Abstract: | In this paper, we study a nonlinear elliptic equation driven by the sum of a p-Laplacian and a Laplacian ((p, 2)-equation), with a Carathéodory (p − 1)-(sub-)linear reaction. Using variational methods combined with Morse theory, we prove two multiplicity theorems providing precise sign information for all the solutions (constant sign and nodal solutions). In the process, we prove two auxiliary results of independent interest. |
| Peer review: | yes |
| URI: | http://hdl.handle.net/10773/14984 |
| DOI: | 10.1090/S0002-9947-2014-06324-1 |
| ISSN: | 0002-9947 |
| Appears in Collections: | CIDMA - Artigos FAAG - Artigos |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| P63_TransAMS_367(2015)_7243-7272.pdf | Main article | 288.37 kB | Adobe PDF |  |
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