Results 61 to 70 of about 816 (100)

Global existence and finite-time blowup for a mixed pseudo-parabolic r(x)-Laplacian equation

open access: yesAdvances 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
doaj   +1 more source

Weak Solutions of Fractional Order Pettis Integral Inclusions with Multiple Time Delay in Banach Spaces

open access: yes, 2013
Mouffak BenchohraUniversit´e de Sidi Bel-Abb`esLaboratoire de Math´ematiques,BP 89, 22000 Sidi Bel-Abb`es, Alg´eriebenchohra@univ-sba.dzFatima-Zohra MostefaiUniversit´e de SaidaD´epartement de Math´ematiques,BP 138 Cit´e Ennasr, 20000, Saida, Alg´erief.z.
M. Benchohra, F. Mostefai
semanticscholar   +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

Maximum principles for Laplacian and fractional Laplacian with critical integrability

open access: yes, 2019
In this paper, we study maximum principles for Laplacian and fractional Laplacian with critical integrability. We first consider $-\Delta u(x)+c(x)u(x)\geq 0$ in $B_1$ where $c(x)\in L^{p}(B_1)$, $B_1\subset \mathbf{R}^n$. As is known that $p=\frac{n}{2}$
Lü, Yingshu
core  

Two solutions for Dirichlet double phase problems with variable exponents

open access: yesAdvanced Nonlinear Studies
This paper is devoted to the study of a double phase problem with variable exponents and Dirichlet boundary condition. Based on an abstract critical point theorem, we establish existence results under very general assumptions on the nonlinear term, such ...
Amoroso Eleonora   +3 more
doaj   +1 more source

Existence and uniqueness of solution for a singular elliptic differential equation

open access: yesAdvances in Nonlinear Analysis
In this article, we are concerned about the existence, uniqueness, and nonexistence of the positive solution for: −Δu−12(x⋅∇u)=μh(x)uq−1+λu−up,x∈RN,u(x)→0,as∣x∣→+∞,\left\{\begin{array}{l}-\Delta u-\frac{1}{2}\left(x\cdot \nabla u)=\mu h\left(x){u}^{q-1}+\
Gu Shanshan, Yang Bianxia, Shao Wenrui
doaj   +1 more source

Existence of solutions to a diffusive shallow medium equation. [PDF]

open access: yesJ Evol Equ, 2021
Bögelein V, Dietrich N, Vestberg M.
europepmc   +1 more source

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