On an Ambrosetti-Prodi type problem for a class of fourth-order ODEs involving Dirac weights
type: Item
instance of: scholarly article
title: On an Ambrosetti-Prodi type problem for a class of fourth-order ODEs involving Dirac weights
author: Jiao Zhao
author: Ruyun Ma
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 2024-08-24T00:00:00Z
review text: The paper deals with the construction of an Ambrosetti-Prodi type result for a general class of fourth-order differential equations involving Dirichlet weights. As stated in the paper, the classical Ambrosetti-Prodi problem studies how perturbations of the linear Dirichlet Laplace operator interact with a nonlinear reaction, especially when the derivative jumps over the principal eigenvalue of the operator. By using the sub-super solution method and Leray-Schauder topological degree theory, the authors investigate the existence/ nonexistence of the solutions. Since it is stated that there are very few studies of this type for fourth-order equations in the literature, it is a valuable study in terms of filling the gap in the literature.
reviewed by: Sibel Doğru Akgöl
Mathematics Subject Classification ID: 34B37
Mathematics Subject Classification ID: 47H11
zbMATH DE Number: 7900953
zbMATH Keywords: Ambrosetti-Prodi type problem
zbMATH Keywords: Dirac delta functions
zbMATH Keywords: Sub-super-solution method
zbMATH Keywords: Degree theory.
MaRDI profile type: Publication
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DOI: 10.1007/S00033-024-02285-W
description: scientific article; zbMATH DE number 7900953