MULTIPLE SOLUTIONS FOR SUPERLINEAR p-LAPLACIAN NEUMANN PROBLEMS

Aizicovici, Sergiu; Papageorgiou, Nikolaos S.; Staicu, Vasile

doi:info:doi/10.18910/23142

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タイトル	MULTIPLE SOLUTIONS FOR SUPERLINEAR p-LAPLACIAN NEUMANN PROBLEMS
著者	Aizicovici, Sergiu Aizicovici, Sergiu
	Papageorgiou, Nikolaos S. Papageorgiou, Nikolaos S.
	Staicu, Vasile Staicu, Vasile
抄録	Our main goal is to prove the existence of multiple solutions with precise sign information for a Neumann problem driven by the p-Laplacian differential operator with a (p-1)-superlinear term which does not satisfy the Ambrosetti--Rabinowitz condition. Using minimax methods we show that the problem has five nontrivial smooth solutions, two positive, two negative and the fifth nodal. In the semilinear case (p = 2), using Morse theory, we produce a second nodal solution (for a total of six nontrivial smooth solutions).
公開者	Osaka University and Osaka City University, Departments of Mathematics
掲載誌名	Osaka Journal of Mathematics
巻	49
号	3
開始ページ	699
終了ページ	740
刊行年月	2012-09
ISSN	00306126
NCID	AA00765910
URL	http://hdl.handle.net/11094/23142
言語	英語
DOI	info:doi/10.18910/23142
カテゴリ	紀要論文 Departmental Bulletin Paper
カテゴリ	Osaka Journal of Mathematics / Volume 49, Number 3　(2012-9）

著者版フラグ	publisher
NII資源タイプ	紀要論文
ローカル資源タイプ	紀要論文
dcmi資源タイプ	text
DCTERMS.bibliographicCitation	Osaka Journal of Mathematics.49(3) P.699-P.740
DC.title	MULTIPLE SOLUTIONS FOR SUPERLINEAR p-LAPLACIAN NEUMANN PROBLEMS
DC.creator	Aizicovici, Sergiu
	Papageorgiou, Nikolaos S.
	Staicu, Vasile
DC.publisher	Osaka University and Osaka City University, Departments of Mathematics
DC.language" scheme="DCTERMS.RFC1766	英語
DCTERMS.issued" scheme="DCTERMS.W3CDTF	2012-09
DC.identifier" scheme="DCTERMS.URI	http://hdl.handle.net/11094/23142
DCTERMS.abstract	Our main goal is to prove the existence of multiple solutions with precise sign information for a Neumann problem driven by the p-Laplacian differential operator with a (p-1)-superlinear term which does not satisfy the Ambrosetti--Rabinowitz condition. Using minimax methods we show that the problem has five nontrivial smooth solutions, two positive, two negative and the fifth nodal. In the semilinear case (p = 2), using Morse theory, we produce a second nodal solution (for a total of six nontrivial smooth solutions).
DC.identifier	info:doi/10.18910/23142
citation_title	MULTIPLE SOLUTIONS FOR SUPERLINEAR p-LAPLACIAN NEUMANN PROBLEMS
citation_author	Aizicovici, Sergiu
	Papageorgiou, Nikolaos S.
	Staicu, Vasile
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2012-09
citation_journal_title	Osaka Journal of Mathematics
citation_volume	49
citation_issue	3
citation_firstpage	699
citation_lastpage	740
citation_issn	00306126
citation_public_url	http://hdl.handle.net/11094/23142
citation_doi	info:doi/10.18910/23142

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