Differential and Integral Equations

Some remarks on the method of moving planes

Lucio Damascelli

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Abstract

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

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

Dates
First available in Project Euclid: 30 April 2013

Permanent link to this document
https://projecteuclid.org/euclid.die/1367341064

Mathematical Reviews number (MathSciNet)
MR1745551

Zentralblatt MATH identifier
1040.35032

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

Citation

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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