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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

The Mean Curvature Equation with Oscillating Nonlinearity

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Author(s):
de Araujo, Anderson L. A. [1] ; Montenegro, Marcelo [2]
Total Authors: 2
Affiliation:
[1] Univ Fed Vicosa, Dept Matemat, BR-36570900 Vicosa, MG - Brazil
[2] Univ Estadual Campinas, IMECC, Dept Matemat, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: ADVANCED NONLINEAR STUDIES; v. 15, n. 1, p. 183-189, FEB 2015.
Web of Science Citations: 0
Abstract

We find a solution of the Dirichlet problem for the prescribed mean curvature equation -div(del u/root 1+\textbackslash{}del u\textbackslash{}(2)) = f(x, u) in Omega with u = 0 on partial derivative Omega, where Omega is a smooth bounded domain in R-N, N >= 1 and f : Omega x {[}0, infinity) --> R is an unbounded continuous function with oscillatory behavior near the origin. (AU)

FAPESP's process: 13/22328-8 - Coincidence theorems and applications in differentials equations.
Grantee:Anderson Luis Albuquerque de Araujo
Support Opportunities: Scholarships in Brazil - Post-Doctoral