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Existence of solutions for a resonant Steklov Problem
- Source :
- Boletim da Sociedade Paranaense de Matemática, Vol 27, Iss 1, Pp 85-90 (2009)
- Publication Year :
- 2009
- Publisher :
- Sociedade Brasileira de Matemática, 2009.
-
Abstract
- In this paper, we prove the existence of weak solutions to the problem △_p u = 0 in Ω, |∇u|^{p−2} ∂_ν u = λ_1 m(x)|u|^{p−2}u + f(x, u) − h on ∂Ω, where Ω is a bounded domain in RN (N ≥ 2), m ∈ L^q(∂Ω) is a weight, λ_1 is the first positive eigenvalue for the eigenvalue Steklov problem △pu = 0 in Ω and |∇u|^{p−2} ∂_ν u=λ m(x)|u|^{p−2}u on ∂Ω. f and h are functions that satisfy some conditions.
Details
- Language :
- English, Portuguese
- ISSN :
- 00378712 and 21751188
- Volume :
- 27
- Issue :
- 1
- Database :
- Directory of Open Access Journals
- Journal :
- Boletim da Sociedade Paranaense de Matemática
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.bbae9fc8cda1444aaafd692e1a53e18d
- Document Type :
- article