Asymptotic behavior of least energy solutions to the Finsler Lane-Emden problem with large exponents
- Resource Type
- Working Paper
- Authors
- Habibi, Sadaf; Takahashi, Futoshi
- Source
- Subject
- Mathematics - Analysis of PDEs
35J35, 35J60
- Language
In this paper 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.