Opuscula Mathematica
Opuscula Math. 43, no. 5 (2023), 675-687

Radial solutions for nonlinear elliptic equation with nonlinear nonlocal boundary conditions

Igor Kossowski
Abstract. 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.
Keywords: nonlocal boundary value problem, radial solutions, elliptic equation, the Krasnosielskii fixed point theorem in cone.
Mathematics Subject Classification: 34B10, 34B15, 47H11.
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About the authors ▼
Igor Kossowski
https://orcid.org/0000-0002-1314-5562
Lodz University of Technology, Institute of Mathematics, al. Politechniki 8, 93-590 Łódź, Poland
About the article ▼
Communicated by P.A. Cojuhari.
Received: 2023-04-21.
Accepted: 2023-05-14.
Published online: 2023-06-24.
Cite this article as ▼
Igor Kossowski, Radial solutions for nonlinear elliptic equation with nonlinear nonlocal boundary conditions, Opuscula Math. 43, no. 5 (2023), 675-687, https://doi.org/10.7494/OpMath.2023.43.5.675.
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