Results 51 to 60 of about 1,746 (127)

Regularity results for degenerate elliptic equations related to Gauss measure

open access: yes, 2007
In this paper we study a Dirichlet problem relative to the equation Lu = gφ− (f iφ)xi , where L is a linear elliptic operator with lower-order terms whose ellipticity condition is given in terms of the function φ(x) = (2π)− 2 exp ( − |x| /2 ) , the ...
G. Blasio, F. Feo, M. Posteraro
semanticscholar   +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

A CERTAIN EXAMPLE FOR A DE GIORGI CONJECTURE

open access: yes, 2014
. In this paper, we illustrate a counter example for theconverse of a certain conjecture proposed by De Giorgi. De Giorgisuggested a series of conjectures, in which a certain integral condi-tion for singularity or degeneracy of an elliptic operator is ...
Sungwon Cho
semanticscholar   +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

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

On optimality conditions for optimal control problem in coefficients for Δp-Laplacian

open access: yes, 2014
In this paper we study an optimal control problem for a nonlinear monotone Dirichlet problem where the control is taken as L∞(Ω)-coefficient of Δp-Laplacian.
O. Kupenko, R. Manzo
semanticscholar   +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  

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

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 Critical Point Theorem for Perturbed Functionals and Low Perturbations of Differential and Nonlocal Systems

open access: yesAdvanced Nonlinear Studies, 2020
In this paper we establish a new critical point theorem for a class of perturbed differentiable functionals without satisfying the Palais–Smale condition.
Bahrouni Anouar   +2 more
doaj   +1 more source

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