3.—A Criterion for the Existence of Solutions of Non-linear Elliptic Boundary Value Problems-Reference-Cited by-同舟云学术

3.—A Criterion for the Existence of Solutions of Non-linear Elliptic Boundary Value Problems

Published:1976 Issue: Volume:74 Page:49-54
ISSN:0308-2105
Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
language:en
Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Author:

Deuel Johanna,Hess Peter

Abstract

SynopsisBy a new method it is proved that a non-linear elliptic boundary value problem of rather general type admits a weak solution lying between a given weak lower solution ϕ and a given weak upper solution ψ≧ϕ

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference9 articles.

1. Nonlinear perturbations of uncoupled systems of elliptic operators

2. On the Existence of Positive Solutions of Nonlinear Elliptic Boundary value Problems

Cited by 43 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Upper and Lower Solutions Method for Single Equations;Nonlinear Second Order Elliptic Equations;2024

2. A Variational Approach to Quasilinear Elliptic Problems with Gradient Dependence;Bulletin of the Brazilian Mathematical Society, New Series;2023-03-10

3. A jumping problem for quasilinear elliptic equations with right-hand side measure;Rendiconti Lincei - Matematica e Applicazioni;2022-12-29

4. The logistic equation with nonlinear advection term;Nonlinear Analysis: Real World Applications;2022-06

5. p–Laplacian diffusion coupled to logistic reaction: asymptotic behavior as p goes to 1;Annali di Matematica Pura ed Applicata (1923 -);2022-03-21