Results 61 to 70 of about 16,559 (211)

On nonlocal quasilinear equations and their local limits

, 2016
We introduce a new class of quasilinear nonlocal operators and study equations involving these operators. The operators are degenerate elliptic and may have arbitrary growth in the gradient.
Chasseigne, Emmanuel, Jakobsen, Espen
core   +1 more source

$C^{1,\alpha}$-Regularity of Quasilinear equations on the Heisenberg Group

, 2018
In this article, we reproduce results of classical regularity theory of quasilinear elliptic equations in the divergence form, in the setting of Heisenberg Group.
Mukherjee, Shirsho
core  

Solutions to singular quasilinear elliptic equations on bounded domains

Electronic Journal of Differential Equations, 2018
In this article we study quasilinear elliptic equations with a singular operator and at critical Sobolev growth. We prove the existence of positive solutions.
Zhouxin Li, Youjun Wang
doaj  

Quasilinear elliptic equations with natural growth

Differential and Integral Equations, 2007
n ...
ABDELLAOUI B, BOCCARDO, Lucio, PERAL I, PRIMO A.   +3 more
openaire   +3 more sources

A compactness result for quasilinear elliptic equations by mountain pass techniques [PDF]

Rendiconti di Matematica e delle Sue Applicazioni, 2009
A class of solutions to some quasilinear elliptic equations is considered. Some estimates due to some Mountain Pass techniques allow to obtain a compactness result for this class of solutions, with a suitable continuous dependence on the data.
Mario Girardi, Michele Matzeu
doaj  

Multiplicity of solutions for quasilinear elliptic problems involving $\Phi$-Laplacian operator and critical growth

Electronic Journal of Qualitative Theory of Differential Equations, 2019
In this paper, we study a class of quasilinear elliptic equations with $\Phi$-Laplacian operator and critical growth. Using the symmetric mountain pass theorem and the concentration-compactness principle, we demonstrate that there exists $\lambda_i>0 ...
Xuewei Li, Gao Jia
doaj   +1 more source

Dirichlet problems for semilinear elliptic equations with a fast growth coefficient on unbounded domains

Electronic Journal of Differential Equations, 2005
When an unbounded domain is inside a slab, existence of a positive solution is proved for the Dirichlet problem of a class of semilinear elliptic equations that are similar either to the singular Emden-Fowler equation or a sublinear elliptic equation ...
Zhiren Jin
doaj  

Multiple positive solutions for quasilinear elliptic problems with combined critical Sobolev–Hardy terms

Boundary Value Problems, 2019
In this paper, we investigate the quasilinear elliptic equations involving multiple critical Sobolev–Hardy terms with Dirichlet boundary conditions on bounded smooth domains  Ω⊂RN $\varOmega \subset R^{N}$ ( N≥3 ${N \ge 3} $), and prove the multiplicity ...
Yuanyuan Li
doaj   +1 more source

Quasilinear elliptic equations with quadratic growth in the gradient

Journal of Differential Equations, 1992
The authors wish to establish existence of a solution \(u:\Omega\to\mathbb{R}\) \((\Omega\) open bounded subset of \(\mathbb{R}^ n)\) such that: \(u\in H^ 1_ 0(\Omega)\cap L^ \infty(\Omega)\) and satisfies \[ Au(x)=-\sum^ n_{i,j=1}\partial_ i(a_{ij}(x))\partial_ ju=H(x,u,Du) \tag{1} \] where \(A\) is elliptic, \(a_{ij}(x)\) are measureable functions ...
MADERNA C., PAGANI, CARLO DOMENICO, SALSA, SANDRO   +2 more
openaire   +4 more sources

Simulating accurate and effective solutions of some nonlinear nonlocal two-point BVPs: Clique and QLM-clique matrix methods. [PDF]

Heliyon, 2023
Izadi M, Singh J, Noeiaghdam S.
europepmc   +1 more source