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arXiv · 1703.00183

Existence and asymptotic behavior for the ground state of quasilinear elliptic equation

Xiaoyu Zeng·Yimin Zhang
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Abstract

In this paper, we are concerned with the existence and asymptotic behavior of minimizers for a minimization problem related to some quasilinear elliptic equations. Firstly, we proved that there exist minimizers when the exponent $q$ equals to the critical case $q^*=2+\frac{4}{N}$, which is different from that of \cite{cjs}. Then, we proved that all minimizers are compact as $q$ tends to the critical case $q^*$ when $a a^*$.

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Xiaoyu Zeng, Yimin Zhang. 2017-03-01. Existence and asymptotic behavior for the ground state of quasilinear elliptic equation. https://arxiv.org/abs/1703.00183

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