Existence of Solutions to a Class of Semilinear Elliptic Problem with Nonlinear Singular Terms and Variable Exponent. (13th June 2016)

• Record Type: Journal Article
• Authors: Chu, Ying; Gao, Yanchao; Gao, Wenjie
• Other Names: Ragusa Maria Alessandra Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2016(2016)
• Publication Date: 2016-06-13
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2016/9794739
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : The authors of this paper prove the existence and regularity results for the homogeneous Dirichlet boundary value problem to the equation - d i v ( M ( x ) ∇ u n ) = f ( x ) / u α ( x ) with f ∈ L m ( Ω ) ( m ⩾ 1 ) and α ( x ) > 0 . The results show the dependence of the summability of f in some Lebesgue spaces and on the values of α ( x ) .