Special Session 50: Nonlinear elliptic PDEs: analysis and computations

Asymptotic behavior of least energy solutions to the Finsler Lane-Emden problem with large exponents

Futoshi Takahashi
Osaka Metropolitan University
Japan
Co-Author(s):    
Abstract:
We are concerned with the least energy solutions to the Lane-Emden problem driven by an anisotropic operator, so-called the Finsler $N$-Laplacian, on a bounded domain in $\mathbb{R}^N$. We prove several asymptotic formulae as the nonlinear exponent gets large. This talk is based on a joint work with Sadaf Habibi (Osaka City University).