Results 21 to 30 of about 803 (73)

Least energy sign-changing solutions for a nonlocal anisotropic Kirchhoff type equation

open access: yesMoroccan Journal of Pure and Applied Analysis, 2022
In this paper, we investigate the existence of sign-changing solutions for the following class of fractional Kirchhoff type equations with potential (1+b[u]α2)((-Δx)αu-Δyu)+V(x,y)u=f(x,y,u),(x,y)∈ℝN=ℝn×ℝm,\left( {1 + b\left[ u \right]_\alpha ^2} \right ...
Rahmani Mohammed   +3 more
doaj   +1 more source

Weak solutions for generalized p-Laplacian systems via Young measures

open access: yesMoroccan Journal of Pure and Applied Analysis, 2018
We prove the existence of weak solutions to a generalized p-Laplacian systems in degenerate form. The techniques of Young measure for elliptic systems are used to prove the existence result.
Azroul Elhoussine, Balaadich Farah
doaj   +1 more source

Regularity theory for nonlinear systems of SPDEs

open access: yes, 2014
We consider systems of stochastic evolutionary equations of the type $$du=\mathrm{div}\,S(\nabla u)\,dt+\Phi(u)dW_t$$ where $S$ is a non-linear operator, for instance the $p$-Laplacian $$S(\xi)=(1+|\xi|)^{p-2}\xi,\quad \xi\in\mathbb R^{d\times D},$$ with
Breit, Dominic
core   +1 more source

Weak and stationary solutions to a Cahn–Hilliard–Brinkman model with singular potentials and source terms

open access: yesAdvances 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
doaj   +1 more source

Unique solutions to boundary value problems in the cold plasma model

open access: yes, 2010
The unique existence of a weak solution to the homogeneous closed Dirichlet problem on certain D-star-shaped domains is proven for a mixed elliptic-hyperbolic equation.
Otway, Thomas H.
core   +1 more source

Hair fragility (trichorrhexis nodosa) in alopecic Pomeranian dogs

open access: yesVeterinary Dermatology, Volume 36, Issue 1, Page 64-73, February 2025.
Background – Alopecia associated with hair cycle arrest (HCA, Alopecia X) is well‐recognised in Pomeranian dogs. The authors are unaware of reports of hair fragility in affected dogs. Hypothesis/Objectives – Following the observation of frequent hair shaft abnormalities in alopecic Pomeranians, we hypothesised that hair fragility events would be more ...
Erin Brennan   +6 more
wiley   +1 more source

Global weak solutions to a two-dimensional compressible MHD equations of viscous non-resistive fluids

open access: yes, 2019
We consider a two-dimensional MHD model describing the evolution of viscous, compressible and electrically conducting fluids under the action of vertical magnetic field without resistivity.
Li, Yang, Sun, Yongzhong
core   +1 more source

Efficacy of an oral chew containing fibre and Bacillus velezensis C‐3102 in the management of anal sac impaction in dogs

open access: yesVeterinary Dermatology, Volume 36, Issue 1, Page 74-82, February 2025.
Background — Anal sac impaction is common in dogs and manual expression may be effective, yet recurrence remains a problem. To facilitate physiological emptying of the sacs, it is important to maintain a bulky stool consistency. Objectives — The study evaluated if supplementation with ProGlan, a complementary feed containing Bacillus velezensis C‐3102 ...
Marta Salichs   +2 more
wiley   +1 more source

Three weak solutions for a Neumann elliptic equations involving the p→(x)\vec p\left( x \right)-Laplacian operator

open access: yesNonautonomous Dynamical Systems, 2020
The aim of this paper is to establish the existence of at least three weak solutions for the following elliptic Neumann problem {-Δp→(x)u+α(x)|u|p0(x)-2u=λf(x,u)inΩ,∑i=1N|∂u∂xi|pi(x)-2∂u∂xiγi=0on∂Ω,\left\{ {\matrix{ { - {\Delta _{\vec p\left( x \right)}}
Ahmed Ahmed   +1 more
doaj   +1 more source

Well-posedness and stability analysis for Timoshenko beam system with Coleman-Gurtin's and Gurtin-Pipkin's thermal laws

open access: yesOpen Mathematics, 2023
In this article, the effect of Coleman-Gurtin’s and Gurtin-Pipkin’s thermal laws on the displacement of a Timoshenko beam system with suspenders is studied.
Mukiawa Soh Edwin
doaj   +1 more source

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