Results 61 to 70 of about 778 (84)

Doubly Critical Problems Involving Fractional Laplacians in ℝN

Advanced Nonlinear Studies, 2017
In this paper, we show the existence of nontrivial solutions for doubly critical nonlocal elliptic problems in ℝN{\mathbb{R}^{N}} involving fractional Laplacians.
Yang Jianfu, Wu Fengjie
doaj   +1 more source

Parameter-dependent Edge Operators [PDF]

arXiv, 2009
We study parameter-dependent operators on a manifold with edge and construct new classes of elliptic elements in the corner calculus on an infinite cone with a singular ...
arxiv  

On viscosity and weak solutions for non-homogeneous p-Laplace equations

Advances in Nonlinear Analysis, 2017
In this manuscript, we study the relation between viscosity and weak solutions for non-homogeneous p-Laplace equations with lower-order term depending on x, u and ∇⁡u{\nabla u}.
Medina Maria, Ochoa Pablo
doaj   +1 more source

New Computable Necessary Conditions for the Regularity Theory of Optimal Transportation [PDF]

arXiv, 2009
We give new computable necessary conditions for a class of optimal transportation problems to have smooth solutions.
arxiv  

Wiman and Arima theorems for quasiregular mappings [PDF]

arXiv, 2010
Generalizations of the theorems of Wiman and of Arima on entire functions are proved for spatial quasiregular mappings.
arxiv  

Blow-up solutions for fully nonlinear equations: Existence, asymptotic estimates and uniqueness

Advances in Nonlinear Analysis, 2018
The primary objective of the paper is to study the existence, asymptotic boundary estimates and uniqueness of large solutions to fully nonlinear equations H⁢(x,u,D⁢u,D2⁢u)=f⁢(u)+h⁢(x){H(x,u,Du,D^{2}u)=f(u)+h(x)} in bounded C2{C^{2}} domains Ω⊆ℝn{\Omega ...
Mohammed Ahmed, Rădulescu Vicenţiu D., Vitolo Antonio   +2 more
doaj   +1 more source

Branching Asymptotics on Manifolds with Edge [PDF]

arXiv, 2010
We study pseudo-differential operators on a wedge with continuous and variable discrete branching asymptotics.
arxiv  

Increasing variational solutions for a nonlinear $p$-laplace equation without growth conditions [PDF]

arXiv, 2010
By means of a recent variational technique, we prove the existence of radially monotone solutions to a class of nonlinear problems involving the $p$-Laplace operator. No subcriticality condition (in the sense of Sobolev spaces) is required.
arxiv  

Quasilinear elliptic equations with critical potentials

Advances in Nonlinear Analysis, 2017
We study Liouville theorems for problems of the ...
D’Ambrosio Lorenzo, Mitidieri Enzo
doaj   +1 more source

Heat Kernel estimates for some elliptic operators with unbounded diffusion coefficients [PDF]

arXiv, 2011
We prove heat kernel bounds for the operator (1 + |x|^{\alpha})\Delta in R^N, through Nash inequalities and weighted Hardy inequalities.
arxiv