Existence of Minimal and Maximal Solutions for a Quasilinear Elliptic Equation With Integral Boundary Conditions

Derhab, Mohammed

Existence of Minimal and Maximal Solutions for a Quasilinear Elliptic Equation With Integral Boundary Conditions

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Existence-of-Minimal-and-Maximal-Solutions-for-a-Quasilinear-Elliptic-Equation.pdf (119.77 KB)

Date

2011

Authors

Derhab, Mohammed

Publisher

University of Tlemcen

Abstract

This work is concerned with the construction of the minimal and maximal solutions for a quasilinear elliptic equation with integral boundary conditions, where the nonlinearity is a continuous function depending on the ﬁrst derivative of the unknown function. We also give an example to illustrate our results.

Description

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, ISSN : 0927-0256, DOI : 10.1016/j.commatsci.2010.10.025, Issue : 3, Volume : 50, pp. 880–885, January 2011.