Results 41 to 50 of about 126 (97)

Quasilinear Dirichlet problems with competing operators and convection

Open Mathematics, 2020
The paper deals with a quasilinear Dirichlet problem involving a competing (p,q)-Laplacian and a convection term. Due to the lack of ellipticity, monotonicity and variational structure, the known methods to find a weak solution are not applicable.
Motreanu Dumitru
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Global existence and finite-time blowup for a mixed pseudo-parabolic r(x)-Laplacian equation

Advances in Nonlinear Analysis
This article is devoted to the study of the initial boundary value problem for a mixed pseudo-parabolic r(x)r\left(x)-Laplacian-type equation. First, by employing the imbedding theorems, the theory of potential wells, and the Galerkin method, we ...
Cheng Jiazhuo, Wang Qiru
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Combined effects of Choquard and singular nonlinearities in fractional Kirchhoff problems

Advances in Nonlinear Analysis, 2020
The aim of this paper is to study the existence and multiplicity of solutions for a class of fractional Kirchho problems involving Choquard type nonlinearity and singular nonlinearity.
Wang Fuliang, Hu Die, Xiang Mingqi
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Weak and stationary solutions to a Cahn–Hilliard–Brinkman model with singular potentials and source terms

Advances in Nonlinear Analysis, 2020
We study a phase field model proposed recently in the context of tumour growth. The model couples a Cahn–Hilliard–Brinkman (CHB) system with an elliptic reaction-diffusion equation for a nutrient.
Ebenbeck Matthias, Lam Kei Fong
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PC-Asymptotically almost automorphic mild solutions for impulsive integro-differential equations with nonlocal conditions

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, BENSALEM, Abdelhamid, LITIMEIN, Sara, IKHLEF, Nadia, SALIM, Abdelkrim   +4 more
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A p(x)-Kirchhoff Type Problem Involving the p(x)-Laplacian-Like Operators With Dirichlet Boundary Condition

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, MELLIANI, Said, EL HAMMAR, Hasnae, EL OUAARABI, Mohamed   +3 more
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Fractional Dirichlet problems with singular and non-locally convective reaction

Advances 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.
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Strongly nonlinear periodic parabolic equation in Orlicz spaces

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, GHITA, Erriahi Elidrissi, ABDELILAH, Lamrani Alaoui   +2 more
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On Weak Solutions to Parabolic Problem Involving the Fractional p-Laplacian via Young Measures

Annales 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, Balaadich Farah, El Boukari Brahim, El Ghordaf Jalila   +3 more
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Integral solution to a parabolic equation involving the fractional p-Laplacian operator

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, FAHIM, Houda, ALAA, Nour Eddine   +2 more
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