Differential and Integral Equations

Some remarks on the method of moving planes

Lucio Damascelli

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We propose a variational approach to the method of moving planes which easily applies to quasilinear equations of type (1-1) with $f$ locally Lipschitz continuous. To do this we use a characterization of Lipschitz continuous functions which allows us to get symmetry results without writing an equation for the difference between the solution and its reflection.

Article information

Differential Integral Equations, Volume 11, Number 3 (1998), 493-501.

First available in Project Euclid: 30 April 2013

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35J65: Nonlinear boundary value problems for linear elliptic equations
Secondary: 35J20: Variational methods for second-order elliptic equations


Damascelli, Lucio. Some remarks on the method of moving planes. Differential Integral Equations 11 (1998), no. 3, 493--501. https://projecteuclid.org/euclid.die/1367341064

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