准线性对流-吸收 Neumann 问题的节点解的存在与位置

IF 1 3区数学 Q1 MATHEMATICS

Bulletin of the Malaysian Mathematical Sciences Society Pub Date : 2024-03-07 DOI:10.1007/s40840-024-01669-5

Abdelkrim Moussaoui, Kamel Saoudi

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引用次数: 0

摘要

介绍了涉及对流吸收项的准线性椭圆方程的节点解（即符号变化解）和恒符号解的存在性。通过常数符号解也得出了节点解的定位原理。证明主要基于子超解技术和单调算子理论。

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Existence and Location of Nodal Solutions for Quasilinear Convection–Absorption Neumann Problems

Existence of nodal (i.e., sign changing) solutions and constant-sign solutions for quasilinear elliptic equations involving convection–absorption terms are presented. A location principle for nodal solutions is obtained by means of constant-sign solutions whose existence is also derived. The proof is chiefly based on sub-supersolutions technique together with monotone operator theory.

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来源期刊

Bulletin of the Malaysian Mathematical Sciences Society 数学-数学

CiteScore

2.40

自引率

8.30%

发文量

176

审稿时长

3 months

期刊介绍： This journal publishes original research articles and expository survey articles in all branches of mathematics. Recent issues have included articles on such topics as Spectral synthesis for the operator space projective tensor product of C*-algebras; Topological structures on LA-semigroups; Implicit iteration methods for variational inequalities in Banach spaces; and The Quarter-Sweep Geometric Mean method for solving second kind linear fredholm integral equations.