| Abstract: |
| In this talk we are concerned with the least energy solutions to the Finsler Lane-Emden problem with large exponent $p$ in the nonlinearity on an $N$ dimensional bounded domain.
We prove that the least energy solution is bounded from above and below independent of $p$ large.
Precise asymptotic behaviors of energy and mass are obtained.
We also obtain the asymptotic behavior of the sup-norm of the least energy solutions as $p$ gets large.
Furthermore, we show some concentration phenomena for the scaled functions
and prove that the single-point blowup cannot occur on the boundary of the domain.
This talk is based on the joint work with Sadaf Habibi (DCDS, 42, no.10 (2022)). |
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