### On a quasilinear system involving $K$-Hessian operators

Yuri Bozhkov

#### Abstract

Existence and nonexistence results for a nonlinear system which contains two Hessian operators are proved using the Mountain Pass Theorem and the Pucci-Serrin identity.

#### Article information

Source
Adv. Differential Equations Volume 2, Number 3 (1997), 403-426.

Dates
First available in Project Euclid: 23 April 2013

Mathematical Reviews number (MathSciNet)
MR1441850

Zentralblatt MATH identifier
1023.35501

Subjects
Primary: 35F30: Boundary value problems for nonlinear first-order equations
Secondary: 35J60: Nonlinear elliptic equations

#### Citation

Bozhkov, Yuri. On a quasilinear system involving $K$-Hessian operators. Adv. Differential Equations 2 (1997), no. 3, 403--426. https://projecteuclid.org/euclid.ade/1366742250.