Results 51 to 60 of about 16,559 (211)

A uniqueness result for quasilinear elliptic equations with measures as data [PDF]

Rendiconti di Matematica e delle Sue Applicazioni, 2001
We prove here a uniqueness result for Solutions Obtained as the Limit of Approximations of quasilinear elliptic equations with different kinds of boundary conditions and measures as data.
J. Droniou, T. Gallouët
doaj  

Multiple Positive Solutions for a Quasilinear Elliptic System Involving Concave-Convex Nonlinearities and Sign-Changing Weight Functions

International Journal of Mathematics and Mathematical Sciences, 2012
Let Ω∋0 be an-open bounded domain in ℝ𝑁(𝑁≥3) and 𝑝∗=(𝑝𝑁/(𝑁−𝑝)). We consider the following quasilinear elliptic system of two equations in 𝑊01,𝑝(Ω)×𝑊01,𝑝(Ω): −Δ𝑝𝑢=𝜆𝑓(𝑥)|𝑢|𝑞−2𝑢+(𝛼/(𝛼+𝛽))ℎ(𝑥)|𝑢|𝛼−2𝑢|𝑣|𝛽,−Δ𝑝𝑣=𝜇𝑔(𝑥)|𝑣|𝑞−2𝑣+(𝛽/(𝛼+𝛽))ℎ(𝑥)|𝑢|𝛼|𝑣|𝛽−2𝑣, where 𝜆,𝜇 ...
Tsing-San Hsu
doaj   +1 more source

Quasilinear Elliptic Equations with Hardy-Sobolev Critical Exponents: Existence and Multiplicity of Nontrivial Solutions

Journal of Applied Mathematics, 2014
We study the existence of positive solutions and multiplicity of nontrivial solutions for a class of quasilinear elliptic equations by using variational methods. Our obtained results extend some existing ones.
Guanwei Chen
doaj   +1 more source

Quasilinear and singular elliptic systems

, 2013
In this paper, we investigate a general quasilinear elliptic and singular system. By monotonicity methods, we give some existence and uniqueness results.
Giacomoni, Jacques, Hernández, Jesús, Sauvy, Paul   +2 more
core   +1 more source

Uniqueness of weak solution for nonlinear elliptic equations in divergence form

International Journal of Mathematics and Mathematical Sciences, 2000
We study the uniqueness of weak solutions for quasilinear elliptic equations in divergence form. Some counterexamples are given to show that our uniqueness result cannot be improved in the general case.
Xu Zhang
doaj   +1 more source

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

Positive solutions of quasilinear elliptic equations

Topological Methods in Nonlinear Analysis, 1998
Using a fixed point index the author proves several existence theorems for positive solutions \(u\in D^{1,p}_0\) of the equation \[ -\text{div}(|\nabla u|^{p-2}\nabla u)= \lambda a(x)| u|^{p- 2}u+ f(x,u,\lambda), \] where \(\Omega\) is an unbounded domain in \(\mathbb{R}^N\) with smooth boundary, \(10\) is a real parameter and \(f\) is a Carathéodory ...
openaire   +5 more sources

Uniqueness and Nonuniqueness for the Approximation of Quasilinear Elliptic Equations [PDF]

SIAM Journal on Numerical Analysis, 1996
This paper investigates the issue of uniqueness and nonuniqueness for the approximate solution of quasilinear elliptic equations. In particular, it shows that even if the continuous problem admits a unique solution, its approximation by finite elements may lead to several approximate solutions.
André, N, Chipot, M
openaire   +3 more sources

Existence of solutions for some degenerate quasilinear elliptic equations

Le Matematiche, 2008
In this paper we are interested in the existence of solutions for Dirichlet problem associated to the degenerate quasilinear elliptic equations 
Albo Carlos Cavalheiro
doaj  

Multibump solutions for quasilinear elliptic equations

Journal of Functional Analysis, 2012
AbstractThe current paper is concerned with constructing multibump type solutions for a class of quasilinear Schrödinger type equations including the Modified Nonlinear Schrödinger Equations. Our results extend the existence results on multibump type solutions in Coti Zelati and Rabinowitz (1992) [17] to the quasilinear case.
Jiaquan Liu, Yu-Xia Guo, Zhi-Qiang Wang
openaire   +2 more sources