A Sub-Supersolution Approach for Robin Boundary Value Problems with Full Gradient Dependence-Reference-Cited by-同舟云学术

A Sub-Supersolution Approach for Robin Boundary Value Problems with Full Gradient Dependence

Published:2020-04-27 Issue:5 Volume:8 Page:658
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Motreanu Dumitru,Sciammetta Angela^ORCID,Tornatore Elisabetta^ORCID

Abstract

The paper investigates a nonlinear elliptic problem with a Robin boundary condition, which exhibits a convection term with full dependence on the solution and its gradient. A sub- supersolution approach is developed for this type of problems. The main result establishes the existence of a solution enclosed in the ordered interval formed by a sub-supersolution. The result is applied to find positive solutions.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/8/5/658/pdf

Reference23 articles.

1. Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems;Motreanu,2014

2. Multiple existence results of solutions for the Neumann problems via super- and sub-solutions

3. A sub-supersolution approach for Neumann boundary value problems with gradient dependence

4. Positive solutions for nonlinear Robin problems with convection

5. Nonlinear nonhomogeneous Robin problems with dependence on the gradient

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