Boundedness and blow-up of solutions for a nonlinear elliptic system-Reference-Cited by-同舟云学术

Boundedness and blow-up of solutions for a nonlinear elliptic system

Published:2014-08 Issue:09 Volume:25 Page:1450091
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Covei Dragos-Patru¹

Affiliation:

1. Department of Applied Mathematics, Bucharest University of Economic Studies, Piata Romana, 1st District, 22, 010374, Bucharest, Romania

Abstract

The main objective in this paper is to obtain the existence results for bounded and unbounded solutions of some quasilinear elliptic systems. Related results as obtained here have been established recently in [C. O. Alves and A. R. F. de Holanda, Existence of blow-up solutions for a class of elliptic systems, Differ. Integral Eqs.26(1/2) (2013) 105–118]. Also, we present some references to give the connection between these types of problems with probability and stochastic processes, hoping that these are interesting for the audience of analysts likely to read this paper.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X14500918

Reference21 articles.

1. ‘Large’ solutions of semilinear elliptic equations: Existence, uniqueness and asymptotic behaviour

2. Harnack type estimates for nonlinear elliptic systems and applications

3. C1 + α local regularity of weak solutions of degenerate elliptic equations

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