Results 111 to 120 of about 14,259 (205)

Asymptotics for some quasilinear elliptic equations

Differential and Integral Equations, 1996
Let $B$ be the unit ball of $\mathbb{R}^n$, $n \ge 3$. We consider the problem $\Delta u = f(\vert x\vert)u^{p-\epsilon}$ in $B$, $u > 0$ in $B$, $u = 0$ on $\partial B$, where $f \in C^\infty(\mathbb{R},\mathbb{R})$, $p = (n+2)/(n-2)$, $\epsilon \ge 0$.
openaire   +4 more sources

Optimal $C^{1, \alpha}$ regularity for quasilinear elliptic equations with Orlicz growth

Electronic Journal of Qualitative Theory of Differential Equations
In this paper we obtain the interior optimal $C^{1, \alpha}$ regularity of weak solutions for the following quasilinear elliptic equations with Orlicz growth in divergence form \begin{equation*} -\operatorname{div}a(x, Du)=- \operatorname{div} \textbf{F}
Xiaohan Wang, Fengping Yao
doaj   +1 more source

WELL-POSEDNESS OF A MATHEMATICAL MODEL OF DIABETIC ATHEROSCLEROSIS. [PDF]

J Math Anal Appl, 2022
Xie X.
europepmc   +1 more source

Blood vessel-on-a-chip examines the biomechanics of microvasculature. [PDF]

Soft Matter, 2021
Salipante PF, Hudson SD, Alimperti S.
europepmc   +1 more source

A proof of validity for multiphase Whitham modulation theory. [PDF]

Proc Math Phys Eng Sci, 2020
Bridges TJ, Kostianko A, Schneider G.
europepmc   +1 more source

Multiple solutions for the $p$-Laplace equation with nonlinear boundary conditions

Electronic Journal of Differential Equations, 2006
In this note, we show the existence of at least three nontrivial solutions to the quasilinear elliptic equation $$ -Delta_p u + |u|^{p-2}u = f(x,u) $$ in a smooth bounded domain $Omega$ of $mathbb{R}^N$ with nonlinear boundary conditions $| abla ...
Julian Fernandez Bonder
doaj  

Multiplicity of weak solutions to degenerate weighted quasilinear elliptic equations with nonlocal terms and variable exponents

Electronic Journal of Qualitative Theory of Differential Equations
This paper studies the existence and multiplicity of weak solutions to degenerate weighted quasilinear elliptic equations with nonlocal nonlinearities and variable exponents.
Khaled Kefi
doaj   +1 more source

On the Uniqueness of Schwarzschild-de Sitter Spacetime. [PDF]

Arch Ration Mech Anal, 2023
Borghini S, Chruściel PT, Mazzieri L.
europepmc   +1 more source

Multiple solutions for quasilinear elliptic equations with sign-changing potential

Electronic Journal of Differential Equations, 2016
In this article, we study the quasilinear elliptic equation $$ -\Delta_{p} u-(\Delta_{p}u^{2})u+ V (x)|u|^{p-2}u=g(x,u), \quad x\in \mathbb{R}^N, $$ where the potential V(x) and the nonlinearity g(x,u) are allowed to be sign-changing.
Ruimeng Wang, Kun Wang, Kaimin Teng
doaj  

Nonlinear viscoelasticity of strain rate type: an overview. [PDF]

Proc Math Phys Eng Sci, 2021
Şengül Y.
europepmc   +1 more source