Existence results for some nonlinear elliptic system with lack of compactness

J Velin - Nonlinear Analysis: Theory, Methods & Applications, 2003 - Elsevier
We are interested in existence of solutions for some typical elliptic systems governed by two
pseudo-laplacian operators with critical Sobolev exponents. We show this result by a local …

Multiple solutions for the p-Laplace operator with critical growth

PL De Nápoli, JF Bonder, A Silva - Nonlinear Analysis: Theory, Methods & …, 2009 - Elsevier
In this paper we show the existence of at least three nontrivial solutions to the following
quasilinear elliptic equation [Formula: see text] in a smooth bounded domain Ω of RN with …

Existence and multiplicity of weak solutions for nonuniformly elliptic equations with nonstandard growth condition

RA Mashiyev, B Cekic, M Avci… - Complex Variables and …, 2012 - Taylor & Francis
We discuss the problem–div (a (x,∇ u))= m (x)| u| r (x)− 2 u+ n (x)| u| s (x)− 2 u in Ω, where Ω
is a bounded domain with smooth boundary in ℝ N (N≥ 2), and div (a (x,∇ u)) is ap (x) …

Multiplicity of solutions for quasilinear elliptic problems involving critical Sobolev exponents

EAB Silva, MS Xavier - Annales de l'Institut Henri Poincaré C, Analyse non …, 2003 - Elsevier
The main results of this paper establish, via the variational method, the multiplicity of
solutions for quasilinear elliptic problems involving critical Sobolev exponents under the …

Criticalp-Laplacian problems in RN

CA Swanson, LS Yu - Annali di matematica pura ed applicata, 1995 - Springer
The main theorem establishes the existence of a positive decaying solution u∈ D 0 1, p (R
n) of a quasilinear elliptic problem involving the p-Laplacian operator and the critical …

Multiplicity of solutions for a class of elliptic systems with critical Sobolev exponent

Y Fang, J Zhang - Nonlinear Analysis: Theory, Methods & Applications, 2010 - Elsevier
Multiplicity of solutions for a class of elliptic systems with critical Sobolev exponent -
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[PDF][PDF] Existence of solutions for elliptic systems with critical Sobolev exponent.

P Amster, P De Nápoli, MC Mariani - Electronic Journal of Differential …, 2002 - eudml.org
Existence of solutions for elliptic systems with critical Sobolev exponent ∗ Page 1 \noindent
Electronic Journal of Differential Equations , Vol . 2002 ( 2002 ) , No . 49 , pp . 1 −− 1 3 . \noindent …

Multiple solutions for a class of nonlinear elliptic problems with a p-Laplacian type operator

Y Huang, Y Zhou - Nonlinear Analysis: Theory, Methods & Applications, 2010 - Elsevier
In this paper, we obtain the existence of at least two solutions for a nonlinear elliptic problem
on unbounded domains involving a p-Laplacian type operator and nonsmooth potentials …

Multiplicity of positive solutions for singular elliptic systems with critical Sobolev-Hardy and concave exponents

TS Hsu, HL Li - Acta Mathematica Scientia, 2011 - Elsevier
Multiplicity of positive solutions for singular elliptic systems with critical sobolev-hardy and
concave exponents Page 1 Acta Mathematica Scientia 2011,31B(3):791–804 http://actams.wipm.ac.cn …

Multiple solutions for the p (x)− Laplace operator with critical growth

A Silva - Advanced Nonlinear Studies, 2011 - degruyter.com
The aim of this paper is to extend previous results regarding the multiplicity of solutions for
quasilinear elliptic problems with critical growth to the variable exponent case. We prove, in …