Nonlinear Kato Class and Unique Continuation of Eigenfunctions for p-Laplacian Operator
Joint Authors
Castillo, René Erlín
Ramos-Fernández, Julio C.
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-10-01
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We study some basic properties of nonlinear Kato class Mp(ℝn) and M~p(ℝn), respectively, for 1
Also, we study the problem -div(|∇u|p-2∇u)+V|u|p-2u=0 in Ω, where Ω is a bounded domain in ℝn and the weight function V is assumed to be not equivalent to zero and lies in M~p(Ω), in the case where p Finally, we establish the strong unique continuation property of the eigenfunction for the p-Laplacian operator in the case where V∈M~p(Ω).
American Psychological Association (APA)
Castillo, René Erlín& Ramos-Fernández, Julio C.. 2013. Nonlinear Kato Class and Unique Continuation of Eigenfunctions for p-Laplacian Operator. Journal of Function Spaces،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1006104
Modern Language Association (MLA)
Castillo, René Erlín& Ramos-Fernández, Julio C.. Nonlinear Kato Class and Unique Continuation of Eigenfunctions for p-Laplacian Operator. Journal of Function Spaces No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-1006104
American Medical Association (AMA)
Castillo, René Erlín& Ramos-Fernández, Julio C.. Nonlinear Kato Class and Unique Continuation of Eigenfunctions for p-Laplacian Operator. Journal of Function Spaces. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1006104
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1006104