Results 21 to 30 of about 49 (49)

Continuous and Lp estimates for the complex Monge‐Ampère equation on bounded domains in ℂn

International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 11, Page 705-707, 2002., 2002
Continuous solutions with continuous data and Lp solutions with Lp data are obtained for the complex Monge‐Ampère equation on bounded domains, without requiring any smoothness of the domains.
Patrick W. Darko
wiley   +1 more source

Strong unique continuation of eigenfunctions for p‐Laplacian operator

International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 3, Page 213-216, 2001., 2001
We show the strong unique continuation property of the eigenfunctions for p‐Laplacian operator in the case p < N.
Islam Eddine Hadi, N. Tsouli
wiley   +1 more source

Σ-Shaped Bifurcation Curves

Advances in Nonlinear Analysis, 2021
We study positive solutions to the steady state reaction diffusion equation of the form:
Acharya A., Fonseka N., Quiroa J., Shivaji R.   +3 more
doaj   +1 more source

A duality theorem for solutions of elliptic equations

International Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 1, Page 73-85, 1990., 1990
Let L be a second order linear partial differential operator of elliptic type on a domain Ω of ℝm with coefficients in C∞(Ω). We consider the linear space of all solutions of the equation Lu = 0 on Ω with the topology of uniform convergence on compact subsets and describe the topological dual of this space. It turns out that this dual may be identified
Pierre Blanchet
wiley   +1 more source

On the initial value problem for a partial differential equation with operator coefficients

International Journal of Mathematics and Mathematical Sciences, Volume 3, Issue 1, Page 103-111, 1980., 1980
In the present work it is studied the initial value problem for an equation of the form where L is an elliptic partial differential operator and (Lj : j = 1, …, k) is a family of partial differential operators with bounded operator coefficients in a suitable function space. It is found a suitable formula for solution.
Mahmoud M. El-Borai
wiley   +1 more source

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

Moroccan 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

Sharp Hardy Identities and Inequalities on Carnot Groups

Advanced Nonlinear Studies, 2021
In this paper we establish general weighted Hardy identities for several subelliptic settings including Hardy identities on the Heisenberg group, Carnot groups with respect to a homogeneous gauge and Carnot–Carathéodory metric, general nilpotent groups ...
Flynn Joshua, Lam Nguyen, Lu Guozhen
doaj   +1 more source

A posteriori error estimates for mixed finite volume solution of elliptic boundary value problems

Moroccan Journal of Pure and Applied Analysis, 2017
The major emphasis of this work is the derivation of a posteriori error estimates for the mixed finite volume discretization of second-order elliptic equations. The estimates are established for meshes consisting of simplices on unstructured grids.
Benkhaldoun Fayssal, Seaid Mohammed, Mahamane Amadou   +2 more
doaj   +1 more source

Global gradient estimates for Dirichlet problems of elliptic operators with a BMO antisymmetric part

Advances in Nonlinear Analysis, 2022
Let n≥2n\ge 2 and Ω⊂Rn\Omega \subset {{\mathbb{R}}}^{n} be a bounded nontangentially accessible domain. In this article, the authors investigate (weighted) global gradient estimates for Dirichlet boundary value problems of second-order elliptic equations
Yang Sibei, Yang Dachun, Yuan Wen
doaj   +1 more source

Nonlinear elliptic unilateral problems with measure data in the anisotropic Sobolev space

Nonautonomous Dynamical Systems
In this article, we consider a nonlinear elliptic unilateral equation whose model is −∑i=1N∂iσi(x,u,∇u)+L(x,u,∇u)+N(x,u,∇u)=μ−divϕ(u)inΩ.-\mathop{\sum }\limits_{i=1}^{N}{\partial }^{i}{\sigma }_{i}\left(x,u,\nabla u)+L\left(x,u,\nabla u)+N\left(x,u ...
Bouzelmate Arij, El Haji Badr, Lamtarah Adnan   +2 more
doaj   +1 more source