Mousomi Bhakta
Articles written in Resonance – Journal of Science Education
Volume 25 Issue 6 June 2020 pp 757-763 General Article
The Maximum Principle and the Moving Plane Method
In this article we discuss the maximum principle and it’s ap-plication to the study of symmetry of solutions of nonlinear partial differential equations, which was one of the main re-search topics of Louis Nirenberg. The central question in symmetry that we discuss is the following if a domain Ω ⊂ RN and the given boundary data on ∂Ω have some symmetry, for example radial symmetry, axial symmetry or symmetry with respect to some hyperplane, then when we can say that posi-tive solution of a given nonlinear partial differential equation on Ω inherit these symmetries.
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