Topological degree for a class of elliptic operators in ${\mathbb R}^n$

Type: Article

Publication Date: 1999-12-01

Citations: 5

DOI: https://doi.org/10.12775/tmna.1999.034

Abstract

A class of elliptic operators in ${\mathbb R}^n$ is considered. It is proved that the operators are Fredholm and proper. The topological degree is constructed. Existence of solutions for a reaction-diffusion system is studied.

Locations

  • Topological Methods in Nonlinear Analysis - View - PDF
  • Project Euclid (Cornell University) - View - PDF

Similar Works

Action Title Year Authors
+ PDF Chat Properness and topological degree for nonlocal integro-differential systems 2016 Narcisa Apreutesei
Vitaly Volpert
+ PDF Chat Properness and Topological Degree for Nonlocal Reaction‐Diffusion Operators 2011 Narcisa Apreutesei
Vitaly Volpert
+ PDF Chat Properness and Topological Degree for Nonlocal Reaction-Diffusion Operators 2011 Narcisa Apreutesei
Vitaly Volpert
+ Fredholm and regularity theory of Douglis–Nirenberg elliptic systems on $${\mathbb{R}^{N}}$$ 2010 Patrick J. Rabier
+ Quasilinear second order elliptic systems and topological degree 2005 Hicham Georges Gebran
+ PDF Chat Nonlinear elliptic equations by topological degree in Musielak-Orlicz-Sobolev spaces 2023 Mustapha Ait Hammou
Badr Lahmi
+ Existence of solutions for a nonlocal reaction-diffusion equation in biomedical applications 2022 Cristina Leon
Irina Kutsenko
Vitaly Volpert
+ PDF Chat Topological degree methods for a Neumann problem governed by nonlinear elliptic equation 2020 Adil Abbassi
Chakir Allalou
Abderrazak Kassidi
+ PDF Chat Properness and topological degree for general elliptic operators 2003 Vitaly Volpert
Aizik Volpert
+ Nonlinear Elliptic Boundary Value Problems by Topological Degree 2019 Mustapha Ait Hammou
Elhoussine Azroul
+ Topological degree methods for a nonlinear elliptic systems with variable exponents 2024 Samira Lecheheb
Abdelhak Fekrache
+ PDF Chat Existence result for a nonlinear elliptic problem by topological degree in Sobolev spaces with variable exponent 2020 Mustapha Ait Hammou
Elhoussine Azroul
+ Topological degree and boundary value problems for nonlinear differential equations 1993 Jean Mawhin
+ Using Leray-Schauder topological degree to solve a linear diffusion parabolic equation with periodic initial conditions 2022 Raad A. Hameed
Faez N. Ghaffoori
Hekmat Sh. Mustafa
Wafaa M. Taha
Maan A. Rasheed
+ Computation of topological degree for nonlinear operators and applications 2008 Jingxian Sun
Xiaoying Liu
+ On a class of nonlinear elliptic problem of convolution type via topological degree theory 2024 Mouad Allalou
Mohamed El Ouaarabi
Abderrahmane Raji
+ Elliptic Differential Operators 2017 Valery Serov
+ PDF Chat Positive solutions of a semilinear elliptic equation on {$\mathbb R^N$} with indefinite nonlinearity 1996 Silvia Cingolani
José L. Gåmez
+ PDF Chat Existence of weak solutions for a nonlinear parabolic equations by Topological degree 2020 Mustapha Ait Hammou
Elhoussine Azroul
+ Nonlinear integro-differential equation with a high-degree hyperbolic operator 2021 T. K. Yuldashev
Ilkhomzhon Usmonalievich Nazarov