Results 51 to 60 of about 203 (82)

Existence Results For A Class Of Nonlinear Degenerate Elliptic Equations

open access: yesMoroccan Journal of Pure and Applied Analysis, 2019
In this paper we are interested in the existence of solutions for Dirichlet problem associated with the degenerate nonlinear elliptic ...
Cavalheiro Albo Carlos
doaj   +1 more source

On Removable Singularities of Solutions of Higher-Order Differential Inequalities

open access: yesAdvanced Nonlinear Studies, 2020
We obtain sufficient conditions for solutions of the mth-order differential ...
Kon’kov A. A., Shishkov A. E.
doaj   +1 more source

Global and blow up solutions to cross diffusion systems

open access: yesAdvances in Nonlinear Analysis, 2015
Necessary and sufficient conditions for global existence of classical solutions to a class of cross diffusion systems on n-dimensional domains are given. Examples of blow up solutions are also presented.
Ahmad Shair, Le Dung
doaj   +1 more source

Existence and uniqueness of solution for a class of nonlinear degenerate elliptic equation in weighted Sobolev spaces

open access: yesActa Universitatis Sapientiae: Mathematica, 2017
In this work we are interested in the existence and uniqueness of solutions for the Navier problem associated to the degenerate nonlinear elliptic equations Δ(v(x)|Δu|r−2Δu)−∑j=1nDj[w1(x)𝒜j(x,u,∇u)]+ b(x,u,∇u) w2(x)=f0(x)−∑j=1nDjfj(x),     in Ω$$\matrix{{
Cavalheiro Albo Carlos
doaj   +1 more source

Existence of a weak bounded solution for nonlinear degenerate elliptic equations in Musielak-Orlicz spaces

open access: yesMoroccan Journal of Pure and Applied Analysis, 2020
In this paper, we show the existence of solutions for the nonlinear elliptic equations of the ...
Bourahma M., Bennouna J., El Moumni M.
doaj   +1 more source

On a nonlinear Robin problem with an absorption term on the boundary and L1 data

open access: yesAdvances in Nonlinear Analysis
We deal with existence and uniqueness of nonnegative solutions to: −Δu=f(x),inΩ,∂u∂ν+λ(x)u=g(x)uη,on∂Ω,\left\{\begin{array}{ll}-\Delta u=f\left(x),\hspace{1.0em}& \hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em}\Omega ,\\ \frac{\partial u}{\partial ...
Pietra Francesco Della   +2 more
doaj   +1 more source

Large solutions to non-divergence structure semilinear elliptic equations with inhomogeneous term

open access: yesAdvances in Nonlinear Analysis, 2017
Motivated by the work [9], in this paper we investigate the infinite boundary value problem associated with the semilinear PDE L⁢u=f⁢(u)+h⁢(x){Lu=f(u)+h(x)} on bounded smooth domains Ω⊆ℝn{\Omega\subseteq\mathbb{R}^{n}}, where L is a non-divergence ...
Mohammed Ahmed, Porru Giovanni
doaj   +1 more source

Existence and multiplicity of solutions for a new p(x)-Kirchhoff equation

open access: yesAdvances in Nonlinear Analysis
This article is devoted to study a class of new p(x)p\left(x)-Kirchhoff equation. By means of perturbation technique, variational method, and the method invariant sets for the descending flow, the existence and multiplicity of solutions to this problem ...
Chu Changmu, Liu Jiaquan
doaj   +1 more source

The Gelfand problem for the 1-homogeneous p-Laplacian

open access: yesAdvances in Nonlinear Analysis, 2017
In this paper, we study the existence of viscosity solutions to the Gelfand problem for the 1-homogeneous p-Laplacian in a bounded domain Ω⊂ℝN{\Omega\subset\mathbb{R}^{N}}, that is, we deal ...
Carmona Tapia José   +2 more
doaj   +1 more source

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