Existence of solutions for some nonlinear elliptic equations
Date
2006-05-19
Authors
Anane, Aomar
Chakrone, Omar
Chehabi, Mohammed
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
In this paper, we study the existence of solutions to the following nonlinear elliptic problem in a bounded subset Ω of ℝN:
-Δpu = ƒ(x, u, ∇u) + μ in Ω,
u = 0 on ∂Ω,
where μ is a Radon measure on Ω which is zero on sets of p-capacity zero, ƒ : Ω x ℝ x ℝN → ℝ is a Carathéodory function that satisfies certain conditions with respect to the one dimensional spectrum.
Description
Keywords
Boundary value problem, Truncation, p-Laplacian, Spectrum
Citation
Anane, A., Chakrone, O., & Chehabi, M. (2006). Existence of solutions for some nonlinear elliptic equations. <i>Electronic Journal of Differential Equations, 2006</i>(63), pp. 1-13.
Rights
Attribution 4.0 International