A bifurcation-type theorem for the positive solutions of a nonlinear Neumann problem with concave and convex terms

Autor:	Dimitrie Kravvaritis, Nikolaus S. Papageorgiou, George Smyrlis
Jazyk:	English<br />French<br />Italian
Rok vydání:	2010
Předmět:	C-condition Nonlinear maximum principle Local minimizers p-Laplacian Bifurcation type theorem. Mathematics QA1-939
Zdroj:	Le Matematiche, Vol 65, Iss 2, Pp 69-78 (2010)
Druh dokumentu:	article
ISSN:	0373-3505 2037-5298
Popis:	We consider a nonlinear elliptic Neumann problem driven by the p-Laplacian with a reaction that involves the combined effects of a “concave” and of a “convex” terms. The convex term (p-superlinear term) need not satisfy the Ambrosetti-Rabinowitz condition. Employing variational methods based on the critical point theory together with truncation techniques, we prove a bifurcation type theorem for the equation.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/4e9745302ead4b9e9b9396b770b699ad Zobrazit plný text záznamu View record in DOAJ