Differential and Integral Equations

On positive solutions of quasilinear elliptic equations

Nguyen Hoang Loc and Klaus Schmitt

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text


In 1981, Peter Hess established a multiplicity result for solutions of boundary-value problems for nonlinear perturbations of the Laplace operator. The sufficient conditions given were later shown to be also necessary by Dancer and the second author. In this paper, we show that similar (and slightly more general) results hold when the Laplace operator is replaced by the $p-$Laplacian. Some applications to singular problems are given, as well.

Article information

Differential Integral Equations, Volume 22, Number 9/10 (2009), 829-842.

First available in Project Euclid: 20 December 2012

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35J92: Quasilinear elliptic equations with p-Laplacian
Secondary: 35B45: A priori estimates


Loc, Nguyen Hoang; Schmitt, Klaus. On positive solutions of quasilinear elliptic equations. Differential Integral Equations 22 (2009), no. 9/10, 829--842. https://projecteuclid.org/euclid.die/1356019510

Export citation