Existence of solutions for nonlinear elliptic degenerate equations期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Existence of solutions for nonlinear elliptic degenerate equations

Affiliation:	1. Department of Physics, College of Science, King Faisal University, PO Box 380, Alahsa 31982, Saudi Arabia;2. Laboratory of Theoretical Physics, Faculty of Sciences, Chouaïb Doukkali University, PO Box 20, 24000 El Jadida, Morocco;1. School of Mathematical Sciences, Inner Mongolia University, Hohhot, China;2. Mathematics Department, Northern Illinois University, USA;1. Istituto Lombardo & Sapienza Università di Roma, Italy;2. Faculty of Mathematics, University of Vienna, Oskar-Morgenstern-Platz 1, 1090 Wien, Austria;3. Departamento di Matemática, Instituto de Ciências Exatas, Universidade de Brasília, Campus Universitário Darcy Ribeiro, 70910-900, Brasília - DF, Brazil;1. Departamento de Matemática, UnB - Brasília, DF, 70297-400, Brazil;2. Dipartimento di Scienze di Base e Applicate per l''Ingegneria, Università di Roma “Sapienza”, Via Antonio Scarpa 10, 00161 Roma, Italy;3. Departamento de Matemática, FCEyN, Universidad de Buenos Aires, Pabellón I, Ciudad Universitaria (1428), Buenos Aires, Argentina

Abstract:	In this paper, we study the problem $−div a(x,u, ∇ u)−div φ(u)+g(x,u)=f in Ω$ in the setting of the weighted sobolev space $W_{0}^{1,p} (Ω,ν)$ . The main novelty of our work is L^∞ estimates on the solutions, and the existence of a weak and renormalized solution.

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