Radial solutions for nonlinear elliptic equation with nonlinear nonlocal boundary conditions

In this article, we prove existence of radial solutions for a nonlinear elliptic equation with nonlinear nonlocal boundary conditions. Our method is based on some fixed point theorem in a cone.

Bibliographic Details
Main Author: Igor Kossowski
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2023-06-01
Series:Opuscula Mathematica
Subjects:
Online Access:https://www.opuscula.agh.edu.pl/vol43/5/art/opuscula_math_4332.pdf
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author Igor Kossowski
author_facet Igor Kossowski
author_sort Igor Kossowski
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description In this article, we prove existence of radial solutions for a nonlinear elliptic equation with nonlinear nonlocal boundary conditions. Our method is based on some fixed point theorem in a cone.
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spelling doaj.art-6fbb06eb86e843dfa51e75682219bc482023-06-24T12:42:09ZengAGH Univeristy of Science and Technology PressOpuscula Mathematica1232-92742023-06-01435675687https://doi.org/10.7494/OpMath.2023.43.5.6754332Radial solutions for nonlinear elliptic equation with nonlinear nonlocal boundary conditionsIgor Kossowski0https://orcid.org/0000-0002-1314-5562Lodz University of Technology, Institute of Mathematics, al. Politechniki 8, 93-590 Łódź, PolandIn this article, we prove existence of radial solutions for a nonlinear elliptic equation with nonlinear nonlocal boundary conditions. Our method is based on some fixed point theorem in a cone.https://www.opuscula.agh.edu.pl/vol43/5/art/opuscula_math_4332.pdfnonlocal boundary value problemradial solutionselliptic equationthe krasnosielskii fixed point theorem in cone
spellingShingle Igor Kossowski
Radial solutions for nonlinear elliptic equation with nonlinear nonlocal boundary conditions
Opuscula Mathematica
nonlocal boundary value problem
radial solutions
elliptic equation
the krasnosielskii fixed point theorem in cone
title Radial solutions for nonlinear elliptic equation with nonlinear nonlocal boundary conditions
title_full Radial solutions for nonlinear elliptic equation with nonlinear nonlocal boundary conditions
title_fullStr Radial solutions for nonlinear elliptic equation with nonlinear nonlocal boundary conditions
title_full_unstemmed Radial solutions for nonlinear elliptic equation with nonlinear nonlocal boundary conditions
title_short Radial solutions for nonlinear elliptic equation with nonlinear nonlocal boundary conditions
title_sort radial solutions for nonlinear elliptic equation with nonlinear nonlocal boundary conditions
topic nonlocal boundary value problem
radial solutions
elliptic equation
the krasnosielskii fixed point theorem in cone
url https://www.opuscula.agh.edu.pl/vol43/5/art/opuscula_math_4332.pdf
work_keys_str_mv AT igorkossowski radialsolutionsfornonlinearellipticequationwithnonlinearnonlocalboundaryconditions