Results 51 to 60 of about 778 (84)

Existence and uniqueness of solution for a class of nonlinear degenerate elliptic equation in weighted Sobolev spaces

Acta Universitatis Sapientiae: Mathematica, 2017
In this work we are interested in the existence and uniqueness of solutions for the Navier problem associated to the degenerate nonlinear elliptic equations Δ(v(x)|Δu|r−2Δu)−∑j=1nDj[w1(x)𝒜j(x,u,∇u)]+ b(x,u,∇u) w2(x)=f0(x)−∑j=1nDjfj(x),     in Ω$$\matrix{{
Cavalheiro Albo Carlos
doaj   +1 more source

On existence of minimizers for the Hardy-Sobolev-Maz'ya inequality [PDF]

arXiv, 2005
We show existence of minimizers for the Hardy-Sobolev-Maz'ya inequality in $R^{m+n}\setminus\R^n$ for $m=1$ and $n>2$ or for $m>2$ and $n>0$.
arxiv  

Removable singularities for Hölder continuous quasiregular mappings in the plane [PDF]

arXiv, 2006
We give necessary conditions for a set E to be removable for Holder continuous quasiregular mappings in the plane. We also obtain some removability results for Holder continuous mappings of finite distortion.
arxiv  

Large solutions to non-divergence structure semilinear elliptic equations with inhomogeneous term

Advances in Nonlinear Analysis, 2017
Motivated by the work [9], in this paper we investigate the infinite boundary value problem associated with the semilinear PDE L⁢u=f⁢(u)+h⁢(x){Lu=f(u)+h(x)} on bounded smooth domains Ω⊆ℝn{\Omega\subseteq\mathbb{R}^{n}}, where L is a non-divergence ...
Mohammed Ahmed, Porru Giovanni
doaj   +1 more source

The Structure of Operators on Manifolds with Polyhedral Singularities [PDF]

arXiv, 2006
We discuss intuitive ideas and historical background of concepts in the analysis on configurations with singularities, here in connection with our iterative approach for higher singularities.
arxiv  

The Gelfand problem for the 1-homogeneous p-Laplacian

Advances in Nonlinear Analysis, 2017
In this paper, we study the existence of viscosity solutions to the Gelfand problem for the 1-homogeneous p-Laplacian in a bounded domain Ω⊂ℝN{\Omega\subset\mathbb{R}^{N}}, that is, we deal ...
Carmona Tapia José, Molino Salas Alexis, Rossi Julio D.   +2 more
doaj   +1 more source

Symmetry of singular solutions of degenerate quasilinear elliptic equations [PDF]

Rend. Istit. Mat. Univ. Trieste 39 (2007), 2007
We prove radial symmetry of singular solutions to an overdetermined boundary value problem for a class of degenerate quasilinear elliptic equations.
arxiv  

Besov regularity for the elliptic p-harmonic equations in the non-quadratic case

Advances in Nonlinear Analysis
In this article, we mainly establish the local extra fractional differentiability (Besov regularity) of weak solutions for the following divergence nonlinear elliptic equations of pp-Laplacian type: divA(Du,x)=divF,\hspace{0.1em}\text{div}\hspace{0.1em}A(
Yao Fengping
doaj   +1 more source

On Cauchy–Liouville-type theorems

Advances in Nonlinear Analysis, 2017
In this paper we explore Liouville-type theorems to solutions of PDEs involving the ϕ-Laplace operator in the setting of Orlicz–Sobolev spaces. Our results extend Liouville-type theorems that have been obtained recently.
Araya Ataklti, Mohammed Ahmed
doaj   +1 more source

Perturbative solutions to the extended constant scalar curvature equations on asymptotically hyperbolic manifolds [PDF]

arXiv, 2008
We prove local existence of solutions to the extended constant scalar curvature equations introduced by A. Butscher, in the asymptotically hyperbolic setting. This gives a new local construction of asymptotically hyperbolic metrics with constant scalar curvature.
arxiv