Results 81 to 90 of about 1,022 (104)

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

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

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

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

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

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

A-priori bounds and existence for solutions of weighted elliptic equations with a convection term

Advances in Nonlinear Analysis, 2017
We investigate weighted elliptic equations containing a convection term with variable exponents that are subject to Dirichlet or Neumann boundary condition.
Ho Ky, Sim Inbo
doaj   +1 more source

On the Dirichlet Problem for a Class of Nonlinear Degenerate Elliptic Equations in Weighted Sobolev Spaces

Annales Mathematicae Silesianae
In this paper we are interested in the existence of solutions for the Dirichlet problem associated with the degenerate nonlinear elliptic equations − div𝒜x,u,Δu ω1+ℬx,u,∇uν1+ℋx,u,∇uν2+up−2 u ω2−∑i,j=1nDjaijxDiux=f0x−∑j=1nDjfjx     in  Ω,ux=0     on ∂Ω ...
Cavalheiro Albo Carlos
doaj   +1 more source

A multiplicity result for a nonlinear degenerate problem arising in the theory of electrorheological fluids

Proceedings of the Royal Society A, 2011
M. Mihăilescu, V. Rădulescu
semanticscholar   +1 more source

On the best constant for Hardy's inequality in $\mathbb{R}^n$

, 1998
M. Marcus, V. Mizel, Y. Pinchover
semanticscholar   +1 more source