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Positive Solutions for Some Weighted Elliptic Problems

, 2020
In this study, we study the existence and the nonexistence of positive solutions for the following nonlinear elliptic problems:  (P)where, Ω is a regular bounded domain in ℝ , N ≥ 2, a(x) is a smooth function on   and f(x, s) is asymptotically linear in ...
H. Zahed
semanticscholar   +1 more source

Existence of Renormalized Solutions of Nonlinear Elliptic Problems in Weighted Variable-Exponent Space

, 2015
In this article, we study a general class of nonlinear degenerated elliptic problems associated with the differential inclusion b(u)−div(a(x,Du)+F(u))∋ f in W where f ∈ L 1 (W). A vector field a(.,.) is a Caratheodory function.
Y. Akdim, C. Allalou
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Existence and multiplicity of solutions for nonlocal Neumann problem with non-standard growth

Differential and Integral Equations, 2016
In this paper we are concerning with questions of existence of solution for a nonlocal and non-homogeneous Neumann boundary value problems involving the p(x)-Laplacian in which the non-linear terms have critical growth. The main tools we will use are the
F. Corrêa, A. Costa
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Renormalized Solutions of Nonlinear Parabolic Equations in Weigthed Variable-Exponent Space

, 2015
This article is devoted to study the existence of renormalized solutions for the nonlinear p(x)-parabolic problem in the Weighted-Variable-Exponent Sobolev spaces, without the sign condition and the coercivity condition.
Youssef   +5 more
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Ostrowski Type Inequalities and Hardy Inequalities With Boundary Terms Related to the Generalized Greiner Operator

, 2015
In this paper, we first show a representation formula related to the generalized Greiner operator by an improved method. Then using the representation formula and L ∞ norm of the horizontal gradient, we establish Ostrowski type inequalities in the ball ...
Wang Shengjun, Dou Jing-bo
semanticscholar   +1 more source

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