2 problems

Let $\Omega\subset\mathbb R^N$ be the domain, let $s\in(0,1)$ and $p>1$, and let problem (5) denote the fractional critical-growth problem in the source. Let a ground state solutio…

Let $\Omega\subset\mathbb R^N$ be the domain, let $p>1$, let $\lambda>0$, and let $\sigma(-\Delta_p)$ denote the spectrum of the Dirichlet $p$-Laplacian. Theorems 1 and 2 assert gr…