Open Access
2006 ON THE DIRICHLET PROBLEM FOR THE EQUATION $-\Delta u = g(x,u) + \lambda f(x,u)$ WITH NO GROWTH CONDITIONS ON $f$
Giovanni Anello
Taiwanese J. Math. 10(6): 1515-1522 (2006). DOI: 10.11650/twjm/1500404571

Abstract

In this paper we establish some results concerning the existence of nonzero nonnegative and nonzero nonpositive solutions for a Dirichlet problem via variational methods. In particular, a general variational principle of B.Ricceri is applied.

Citation

Download Citation

Giovanni Anello. "ON THE DIRICHLET PROBLEM FOR THE EQUATION $-\Delta u = g(x,u) + \lambda f(x,u)$ WITH NO GROWTH CONDITIONS ON $f$." Taiwanese J. Math. 10 (6) 1515 - 1522, 2006. https://doi.org/10.11650/twjm/1500404571

Information

Published: 2006
First available in Project Euclid: 18 July 2017

zbMATH: 1213.35207
MathSciNet: MR2275142
Digital Object Identifier: 10.11650/twjm/1500404571

Subjects:
Primary: 35J20

Keywords: Dirichlet problem , Laplacian operator , nonnegative solution , nonpositive solution , variational methods

Rights: Copyright © 2006 The Mathematical Society of the Republic of China

Vol.10 • No. 6 • 2006
Back to Top