Results 101 to 110 of about 1,746 (127)

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  

Solutions of vectorial Hamilton–Jacobi equations are rank-one absolute minimisers in L∞L^{\infty}

Advances in Nonlinear Analysis, 2017
Given the supremal functional E∞⁢(u,Ω′)=ess⁢supΩ′⁡H⁢(⋅,D⁢u){E_{\infty}(u,\Omega^{\prime})=\operatornamewithlimits{ess\,sup}_{\Omega^{% \prime}}H(\,\cdot\,,\mathrm{D}u)}, defined on Wloc1,∞⁢(Ω,ℝN){W^{1,\infty}_{\mathrm{loc}}(\Omega,\mathbb{R}^{N})}, with ...
Katzourakis Nikos
doaj   +1 more source

Diffeomorphism-invariant properties for quasi-linear elliptic operators [PDF]

arXiv, 2011
For quasi-linear elliptic equations we detect relevant properties which remain invariant under the action of a suitable class of diffeomorphisms. This yields a connection between existence theories for equations with degenerate and non-degenerate coerciveness.
arxiv  

Infinitely Many Solutions for a Non-homogeneous Differential Inclusion with Lack of Compactness

Advanced Nonlinear Studies, 2019
In this paper, we consider the following class of differential inclusion problems in ℝN{\mathbb{R}^{N}} involving the p⁢(x){p(x)}-Laplacian:
Ge Bin, Rădulescu Vicenţiu D.
doaj   +1 more source

Global compactness for a class of quasi-linear elliptic problems [PDF]

arXiv, 2011
We prove a global compactness result for Palais-Smale sequences associated with a class of quasi-linear elliptic equations on exterior domains.
arxiv  

Parabolic Biased Infinity Laplacian Equation Related to the Biased Tug-of-War

Advanced Nonlinear Studies, 2019
In this paper, we study the parabolic inhomogeneous β-biased infinity Laplacian equation arising from the β-biased tug-of ...
Liu Fang, Jiang Feida
doaj   +1 more source