The boundary growth of superharmonic functions and positive solutions of nonlinear elliptic equations

Hirata, Kentaro

Hokkaido University Preprint Series in Mathematics, 2006, 814, 1-17

Permalink : https://doi.org/10.14943/83964

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アクセス権	open access
DOI	https://doi.org/10.14943/83964
URI	https://hdl.handle.net/2115/69622
タイトル	The boundary growth of superharmonic functions and positive solutions of nonlinear elliptic equations
著者	著者名 Hirata, Kentaro
言語	英語
キーワード	boundary growth
	superharmonic function
	nonlinear elliptic equation
発行日	2006
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	814
ページ	1-17
抄録	We investigate the boundary growth of positive superharmonic functions on a bounded domain satisfying a certain nonlinear elliptic inequality. The result is applied to show the Harnack inequality for such superharmonic functions. Also, we study the existence of positive solutions, with singularity on the boundary, of elliptic equations with nonlinear term conditioned by the generalized Kato class.
資源タイプ	紀要論文
出版タイプ	Version of Record