Quasilinear elliptic equations with sub-natural growth terms in bounded domains

Hara, Takanobu

Quasilinear elliptic equations with sub-natural growth terms in bounded domains

Hara, Takanobu

Nodea-nonlinear Differential Equations and Applications, 2021, 28(6), 62

Permalink : https://hdl.handle.net/2115/87051

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論文情報

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アクセス権	open access
URI	https://hdl.handle.net/2115/87051
タイトル	Quasilinear elliptic equations with sub-natural growth terms in bounded domains
著者	著者名 Hara, Takanobu
言語	英語
キーワード	Quasilinear elliptic equation
	p-Laplacian
	Wolff potential
	Measure data
	Trace inequality
発行日	2021-11
出版者	Springer
収録物名	Nodea-nonlinear Differential Equations and Applications
巻(号)	28(6)
ページ	62
抄録	We consider the existence of positive solutions to weighted quasilinear elliptic differential equations of the type {-Delta(p,w)u = sigma u(q )in Omega, u = 0 on partial derivative Omega in the sub-natural growth case 0 < q < p - 1, where Omega is a bounded domain in R-n, Delta(p,w) is a weighted p-Laplacian, and a is a nonnegative (locally finite) Radon measure on Omega We give criteria for the existence problem. For the proof, we investigate various properties of p-superharmonic functions, especially the solvability of Dirichlet problems with infinite measure data.
資源タイプ	学術雑誌論文
出版タイプ	Accepted Manuscript
権利情報	This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s00030-021-00724-5
PISSN	1021-9722
関連情報 (isVersionOf)	出版社版DOI https://doi.org/10.1007/s00030-021-00724-5