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- W2076143716 abstract "A central problem in the area of PDEs is the study of global solutions, that is solutions defined in the whole space. This problem arises naturally for example when one studies the possible types of behaviors a solution might have at a given point. Focusing near such a point by dilating the picture more and more, we end up with a PDE in the whole space. In other cases we might have a differential equation with oscillating terms on a small scale depending on a parameter e. In order to understand the behavior at unit scale as the parameter e → 0 we often need to dilate the picture and solve some PDE in the whole space. As a consequence, the study of global solutions is crucial when dealing with singularities, local behavior and homogenization limits of PDEs. In this paper we present symmetry results for global solutions to certain semilinear (or fully nonlinear) elliptic equations of the type" @default.
- W2076143716 created "2016-06-24" @default.
- W2076143716 creator A5076968000 @default.
- W2076143716 date "2009-01-01" @default.
- W2076143716 modified "2023-10-16" @default.
- W2076143716 title "Phase transitions, minimal surfaces, and a conjecture of de Giorgi" @default.
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- W2076143716 doi "https://doi.org/10.4310/cdm.2009.v2009.n1.a3" @default.
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