Results 41 to 50 of about 1,014 (85)

On the absence of solutions of differential inequalities with $\infty$-Laplacian [PDF]

arXiv, 2022
For differential inequalities with the $\infty$-Laplacian in the principal part, we obtain conditions for the absence of solutions in unbounded domains. Examples are given to demonstrate the accuracy of these conditions.
arxiv  

Singular quasilinear elliptic systems in $\mathbb{R}^N$

, 2018
The existence of positive weak solutions to a singular quasilinear elliptic system in the whole space is established via suitable a priori estimates and Schauder's fixed point ...
Marano, S. A., Marino, G., Moussaoui, A.
core   +1 more source

On nonlinear potential theory, and regular boundary points, for the p-Laplacian in N space variables

Advances in Nonlinear Analysis, 2014
We turn back to some pioneering results concerning, in particular, nonlinear potential theory and non-homogeneous boundary value problems for the so-called p-Laplace operator.
Beirão da Veiga Hugo
doaj   +1 more source

A note on the classification of positive solutions to the critical p-Laplace equation in Rn ${\mathbb{R}}^{n}$

Advanced Nonlinear Studies
In this note, we obtain a classification result for positive solutions to the critical p-Laplace equation in Rn ${\mathbb{R}}^{n}$ with n ≥ 4 and p > p n for some number pn∈n3,n+13 ${p}_{n}\in \left(\frac{n}{3},\frac{n+1}{3}\right)$ such that pn∼n3+1n $
Vétois Jérôme
doaj   +1 more source

The Nehari manifold for a quasilinear polyharmonic equation with exponential nonlinearities and a sign-changing weight function

Advances in Nonlinear Analysis, 2015
In this article, we consider the following quasilinear polyharmonic equation: Δn/mmu = λh(x)|u|q-1u + u|u|pe|u|β in Ω, u = ∇u = ⋯ = ∇m-1u = 0 on ∂Ω, where Ω ⊂ ℝn, n ≥ 2m ≥ 2, is a bounded domain with smooth boundary.
Goyal Sarika, Sreenadh Konijeti
doaj   +1 more source

On a Singular Robin Problem with Convection Terms

Advanced Nonlinear Studies, 2020
In this paper, the existence of smooth positive solutions to a Robin boundary-value problem with non-homogeneous differential operator and reaction given by a nonlinear convection term plus a singular one is established.
Guarnotta Umberto, Marano Salvatore A., Motreanu Dumitru   +2 more
doaj   +1 more source

On the existence of weak solutions of a thermistor system with p-Laplacian type equation: the unsteady case [PDF]

arXiv, 2016
We consider an unsteady thermistor system with a p-Laplace type equation for the electrostatic potential.
arxiv  

Normalized solutions for the double-phase problem with nonlocal reaction

Advances in Nonlinear Analysis
In this article, we consider the double-phase problem with nonlocal reaction. For the autonomous case, we introduce the methods of the Pohozaev manifold, Hardy-Littlewood Sobolev subcritical approximation, adding the mass term to prove the existence and ...
Cai Li, Zhang Fubao
doaj   +1 more source

An optimal mass transport approach for limits of eigenvalue problems for the fractional p-Laplacian

Advances in Nonlinear Analysis, 2015
We find an interpretation using optimal mass transport theory for eigenvalue problems obtained as limits of the eigenvalue problems for the fractional p-Laplacian operators as p → +∞. We deal both with Dirichlet and Neumann boundary conditions.
Del Pezzo Leandro, Rossi Julio, Saintier Nicolas, Salort Ariel   +3 more
doaj   +1 more source