Results 71 to 80 of about 1,917 (133)

A singularity as a break point for the multiplicity of solutions to quasilinear elliptic problems

open access: yesAdvances in Nonlinear Analysis, 2020
In this paper we deal with the elliptic ...
López-Martínez Salvador
doaj   +1 more source

Lipschitz estimates for partial trace operators with extremal Hessian eigenvalues

open access: yesAdvances in Nonlinear Analysis, 2022
We consider the Dirichlet problem for partial trace operators which include the smallest and the largest eigenvalue of the Hessian matrix. It is related to two-player zero-sum differential games. No Lipschitz regularity result is known for the solutions,
Vitolo Antonio
doaj   +1 more source

On certain nonlinear elliptic systems with indefinite terms

open access: yesElectronic Journal of Differential Equations, 2002
We consider an elliptic quasi linear systems with indefinite term on a bounded domain. Under suitable conditions, existence and positivity results for solutions are given. Submitted April 2, 2002. Published October 2, 2002.
Ahmed Bensedik, Mohammed Bouchekif
doaj  

A new variable exponent Picone identity and applictions

open access: yes, 2019
In this paper, we derive a new variable exponent Picone identity for p(x) -Laplacian, which contains some known Picone identities. As applications, a strict monotonicity of principal eigenvalues with respect to domains for the eigenvalue problems to p(x)
T. Feng, Junqi Han
semanticscholar   +1 more source

A Diagonalized Legendre Rational Spectral Method for Problems on the Whole Line

open access: yesJournal of Mathematical Study, 2018
A diagonalized Legendre rational spectral method for solving second and fourth order differential equations are proposed. Some Fourier-like Sobolev orthogonal basis functions are constructed which lead to the diagonalization of discrete systems ...
Xu-hong Yu
semanticscholar   +1 more source

Refined Boundary Behavior of the Unique Convex Solution to a Singular Dirichlet Problem for the Monge–Ampère Equation

open access: yesAdvanced Nonlinear Studies, 2018
This paper is concerned with the boundary behavior of the unique convex solution to a singular Dirichlet problem for the Monge–Ampère ...
Zhang Zhijun
doaj   +1 more source

Topological degree methods for a Neumann problem governed by nonlinear elliptic equation

open access: yesMoroccan Journal of Pure and Applied Analysis, 2020
In this paper, we will use the topological degree, introduced by Berkovits, to prove existence of weak solutions to a Neumann boundary value problems for the following nonlinear elliptic ...
Abbassi Adil   +2 more
doaj   +1 more source

Hopf's lemma for a class of singular/degenerate PDE-s

open access: yes, 2014
This paper concerns Hopf's boundary point lemma, in certain $C^{1,Dini}$-type domains, for a class of singular/degenerate PDE-s, including $p$-Laplacian.
Mikayelyan, Hayk, Shahgholian, Henrik
core   +1 more source

A-priori Estimates Near the Boundary for Solutions of a class of Degenerate Elliptic Problems in Besov-type Spaces

open access: yesMoroccan Journal of Pure and Applied Analysis, 2017
In this paper, we give a priori estimates near the boundary for solutions of a degenerate elliptic problems in the general Besov-type spaces Bp,qs,τ$B_{p,q}^{s,\tau }$, containing as special cases: Goldberg space bmo, local Morrey-Campanato spaces l2,λ ...
El Baraka Azzeddine, Masrour Mohammed
doaj   +1 more source

Existence, multiplicity and nonexistence results for Kirchhoff type equations

open access: yesAdvances in Nonlinear Analysis, 2020
In this paper, we study following Kirchhoff type equation:
He Wei, Qin Dongdong, Wu Qingfang
doaj   +1 more source

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