Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/16196
Title: | On (p, q) − equations with concave terms |
Author: | Papageorgiou, Nikolaos S. Santos, Sandrina R. A. Staicu, Vasile |
Keywords: | Nonlinear regularity Nonlinear maximum principle Critical groups Nodal solution Mountain pass theorem Strong comparison principle |
Issue Date: | 2016 |
Publisher: | Gakkotosho |
Abstract: | We consider a (p, q)− equation (1 < q < p, p ≥ 2) with a parametric concave term and a (p − 1)− linear perturbation. We show that the problem have five nontrivial smooth solutions: four of constant sign and the fifth nodal. When q = 2 (i.e., (p, 2) equation) we show that the problem has six nontrivial smooth solutions, but we do not specify the sign of the sixth solution. Our approach uses variational methods, together with truncation and comparison techniques and Morse theory. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/16196 |
ISSN: | 1343-4373 |
Publisher Version: | http://mcm-www.jwu.ac.jp/~aikit/AMSA/index.html |
Appears in Collections: | CIDMA - Artigos FAAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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AMSA_25(2016)_1-32.pdf | documento principal | 201.98 kB | Adobe PDF | View/Open |
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