6533b854fe1ef96bd12ae068

RESEARCH PRODUCT

Infinitely many solutions for p-Laplacian equation involving double critical terms and boundary geometry

Chunhua WangChanglin Xiang

subject

Mathematics - Analysis of PDEsFOS: Mathematics35J60 35B33 35J60 35B33 35J60 35B33Analysis of PDEs (math.AP)

description

Let $1p^{2}+p,a(0)>0$ and $\Omega$ satisfies some geometry conditions if $0\in\partial\Omega$, say, all the principle curvatures of $\partial\Omega$ at $0$ are negative, then the above problem has infinitely many solutions.

https://dx.doi.org/10.48550/arxiv.1407.7982