Results 31 to 40 of about 909 (87)

From Sobolev Inequality to Doubling [PDF]

open access: yes, 2014
In various analytical contexts, it is proved that a weak Sobolev inequality implies a doubling property for the underlying ...
Korobenko, Lyudmila   +2 more
core   +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

Spatial boundary problem with the Dirichlet-Neumann condition for a singular elliptic equation

open access: yes, 2012
The present work devoted to the finding explicit solution of a boundary problem with the Dirichlet-Neumann condition for elliptic equation with singular coefficients in a quarter of ball. For this aim the method of Green's function have been used. Since,
Agostinelli   +26 more
core   +1 more source

On the stability of standing waves of Klein-Gordon equations in a semiclassical regime

open access: yes, 2012
We investigate the orbital stability and instability of standing waves for two classes of Klein-Gordon equations in the semi-classical regime.Comment: 9 ...
______   +41 more
core   +3 more sources

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

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  

Double phase anisotropic variational problems involving critical growth

open access: yesAdvances in Nonlinear Analysis
In this study, we investigate some existence results for double phase anisotropic variational problems involving critical growth. We first establish a Lions-type concentration-compactness principle and its variant at infinity for the solution space ...
Ho Ky, Kim Yun-Ho, Zhang Chao
doaj   +1 more source

A bifurcation result involving Sobolev trace embedding and the duality mapping of W1,p

open access: yesMoroccan Journal of Pure and Applied Analysis, 2017
We consider the perturbed nonlinear boundary condition ...
El Khalil Abdelouahed
doaj   +1 more source

Nonsmooth viscosity solutions of elementary symmetric functions of the complex Hessian

open access: yes, 2015
In this paper we prove the existence of nonsmooth viscosity solutions for Dirichlet problems involving elementary symmetric functions of the eigenvalues of the complex ...
Guidi, Chiara   +2 more
core   +1 more source

Absolute continuity of the best Sobolev constant of a bounded domain

open access: yes, 2012
Let $\lambda_{q}:=\inf{\Vert\nabla u\Vert_{L^{p}(\Omega)}^{p}/\Vertu\Vert_{L^{q}(\Omega)}^{p}:u\in W_{0}^{1,p}(\Omega)\setminus{0}} $, where $\Omega$ is a bounded and smooth domain of $\mathbb{R}^{N ...
Antonietti   +10 more
core   +1 more source

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