Results 41 to 50 of about 113 (94)

PC-Asymptotically almost automorphic mild solutions for impulsive integro-differential equations with nonlocal conditions

open access: yes
In this article, we study the existence of PC-asymptotically almost automorphic mild solutions of integro-differential equations with nonlocal conditions via resolvent operators in Banach space. Further, we give sufficient conditions for the solutions to
BENCHOHRA, Mouffak   +4 more
core   +1 more source

Strongly nonlinear periodic parabolic equation in Orlicz spaces

open access: yes
In this paper, we prove the existence of a weak solution to the following  nonlinear periodic parabolic equations in Orlicz-spaces: $$\frac{\partial u}{\partial t}-div(a(x,t,\nabla u))=f(x,t)$$ where  $-div(a (x,t,\nabla u))$ is a Leray-Lions ...
ELHOUSSINE, Azroul   +2 more
core   +1 more source

On Weak Solutions to Parabolic Problem Involving the Fractional p-Laplacian via Young Measures

open access: yesAnnales Mathematicae Silesianae
In this paper, we study the local existence of weak solutions for parabolic problem involving the fractional p-Laplacian. Our technique is based on the Galerkin method combined with the theory of Young measures.
Talibi Ihya   +3 more
doaj   +1 more source

A p(x)-Kirchhoff Type Problem Involving the p(x)-Laplacian-Like Operators With Dirichlet Boundary Condition

open access: yes
This paper deals with a class of p(x)-Kirchhoff type problems involving the p(x)-Laplacian-like operators, arising from the capillarity phenomena, depending on two real parameters with Dirichlet boundary conditions. Using a topological degree for a class
ALLALOU, Chakir   +3 more
core   +1 more source

Fractional Dirichlet problems with singular and non-locally convective reaction

open access: yesAdvances in Nonlinear Analysis
In this article, the existence of positive weak solutions to a Dirichlet problem driven by the fractional (p,q)\left(p,q)-Laplacian and with reaction both weakly singular and non-locally convective (i.e., depending on the distributional Riesz gradient of
Gambera Laura, Marano Salvatore A.
doaj   +1 more source

Existence results for nonlinear degenerate elliptic equations with lower order terms

open access: yesAdvances in Nonlinear Analysis, 2020
In this paper, we prove the existence and regularity of solutions of the homogeneous Dirichlet initial-boundary value problem for a class of degenerate elliptic equations with lower order terms. The results we obtained here, extend some existing ones of [
Zou Weilin, Li Xinxin
doaj   +1 more source

Integral solution to a parabolic equation involving the fractional p-Laplacian operator

open access: yes
The aim of this work is to study the existence and uniqueness of integral solutions for a class of non-local parabolic equations. There are two main results.
EL HATHOUT, Mohamed   +2 more
core   +1 more source

The structure of 𝓐-free measures revisited

open access: yesAdvances in Nonlinear Analysis, 2020
We refine a recent result on the structure of measures satisfying a linear partial differential equation 𝓐μ = σ, μ, σ are Radon measures, considering the measure μ(x) = g(x)dx + μus(x̃)(μs(x̄) + dx̄) where x = (x̃,x̄) ∈ ℝk × ℝd−k, μus is a uniformly ...
Mitrovic D., Vujadinović Dj.
doaj   +1 more source

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