Results 31 to 40 of about 368 (76)

Existence of a bound state solution for quasilinear Schrödinger equations

Advances in Nonlinear Analysis, 2017
In this article, we establish the existence of bound state solutions for a class of quasilinear Schrödinger equations whose nonlinear term is asymptotically linear in ℝN{\mathbb{R}^{N}}.
Xue Yan-Fang, Tang Chun-Lei
doaj   +1 more source

Existence of solutions for unilateral problems associated to some quasilinear anisotropic elliptic equations with measure data

Nonautonomous Dynamical Systems, 2022
In this paper, we will study the existence of solutions for some nonlinear anisotropic elliptic equation of the type {Au+g(x,u,∇u)=μ−div φ(u)in Ω,u=0on  ∂Ω,\left\{ {\matrix{{Au + g\left( {x,u,\nabla u} \right) = \mu - div\,\phi \left( u \right)} \hfill &
Al-Hawmi Mohammed, Hjiaj Hassane
doaj   +1 more source

Comparison and maximum principles for a class of flux-limited diffusions with external force fields

Advances in Nonlinear Analysis, 2016
In this paper, we are interested in a general equation that has finite speed of propagation compatible with Einstein's theory of special relativity. This equation without external force fields has been derived recently by means of optimal transportation ...
Duong Manh Hong
doaj   +1 more source

Multiplicity of positive solutions for quasilinear elliptic equations involving critical nonlinearity

Advances in Nonlinear Analysis, 2020
We are concerned with the following quasilinear elliptic ...
Fang Xiangdong, Zhang Jianjun
doaj   +1 more source

Solvability of Parametric Elliptic Systems with Variable Exponents

Moroccan Journal of Pure and Applied Analysis, 2023
In this paper, we study the solvability to the left of the positive infimum of all eigenvalues for some non-resonant quasilinear elliptic problems involving variable exponents.
Ouannasser Anass, El Hachimi Abderrahmane   +1 more
doaj   +1 more source

Revisiting the sub- and super-solution method for the classical radial solutions of the mean curvature equation

Open Mathematics, 2020
This paper focuses on the existence and the multiplicity of classical radially symmetric solutions of the mean curvature problem:−div∇v1+|∇v|2=f(x,v,∇v)inΩ,a0v+a1∂v∂ν=0on∂Ω,\left\{\begin{array}{ll}-\text{div}\left(\frac{\nabla v}{\sqrt{1+|\nabla v{|}^{2}}
Obersnel Franco, Omari Pierpaolo
doaj   +1 more source

Global Higher Integrability of the Gradient of the A-Laplace Equation Solution [PDF]

arXiv, 2021
In this paper, we establish higher integrability of the gradient of the solution of the quasilinear elliptic equation $\Delta_Au=\text{div}\left(\frac{a(|F|)}{|F|}F\right)$ in $\mathbb{R}^n$, where $\Delta_Au$ is the so called A-Laplace operator.
arxiv  

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  

On the Dirichlet Problem Generated by the Maz'ya--Sobolev Inequality [PDF]

arXiv, 2011
We discuss the attainability of sharp constants for the Maz'ya--Sobolev inequalities in wedges, "perturbed" wedges and bounded domains.
arxiv  

On the symmetry of minimizers in constrained quasi-linear problems [PDF]

arXiv, 2010
We provide a simple proof of the radial symmetry of any nonnegative minimizer for a general class of quasi-linear minimization problems.
arxiv