Existence and asymptotic behavior of nontrivial p-k-convex radial solutions for p-k-Hessian equations
摘要
We study, via the eigenvalue theory of completely continuous operators, the existence and asymptotic behavior of nontrivial p-k-convex radial solutions for a p-k-Hessian equation. This is probably the first time that p-k-Hessian equations have been studied by employing this technique. Several new nonexistence conclusions are also derived in this paper.