A Class of Degenerate Nonlinear Elliptic Equations in Weighted Sobolev Space. (25th March 2014)

• Record Type: Journal Article
• Authors: Kar, Rasmita
• Other Names: Colombini F. Academic Editor.; Marusic-Paloka E. Academic Editor.; Mascia C. Academic Editor.
• Is Part Of: ISRN mathematical analysis. Volume 2014(2014)
• Publication Date: 2014-03-25
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Periodicals; 515
• DOI: 10.1155/2014/875145
• Languages: English
• ISSNs: 2090-4657

Abstract

Abstract : We prove the existence of a weak solution for the degenerate nonlinear elliptic Dirichlet boundary-value problem L u - μ u g 1 + h u, ∇ u g 2 = f in Ω, u = 0 on ∂ Ω, in a suitable weighted Sobolev space, where Ω ⊂ ℝ n is a bounded domain and h is a continuous bounded nonlinearity.