Existence of a Solution for a Non-Local Problem in ℝNvia Bifurcation Theory

DOI10.1017/S001309151700030XzbMath1421.35143arXiv1509.05294OpenAlexW2803983348MaRDI QIDQ5228176

Romildo N. de Lima, Marco A. S. Souto, Claudianor Oliveira Alves

Publication date: 9 August 2019

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.05294

zbMATH Keywords

positive solutions\textit{a priori} boundsnon-local logistic equations

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) General biology and biomathematics (92B05) Positive solutions to PDEs (35B09) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (6)

A fractional Ambrosetti-Prodi type problem in \(\mathbb{R}^N\) ⋮ BIFURCATION PROPERTIES FOR A CLASS OF CHOQUARD EQUATION IN WHOLE ℝ³ ⋮ A logistic type equation in \(\mathbb{R}^N\) with a nonlocal reaction term via bifurcation method ⋮ A non-local perturbation of the logistic equation in \(\mathbb{R}^N\) ⋮ On an Ambrosetti-Prodi type problem in \(\mathbb{R}^N\) ⋮ On positive solutions of elliptic equations with oscillating nonlinearity in \(\mathbb{R}^N\)

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