2 papers
math.AP2026
On principal eigenpairs for the (p,q)-Laplacian in exterior domain
Maya Chhetri, Pavel Drabek, Ratnasingham Shivaji
We consider an eigenvalue problem of the form \begin{equation*} \left\{\begin{array}{rclll} -Δ_{p} u -Δ_{q} u&=& λK(x)|u|^{p-2}u & \mbox{ in } Ω^e u&=&0\qquad \quad &\mbox{ on } \p…
math.AP2016
A class of semipositone -Laplacian problems with a critical growth reaction term
Kanishka Perera, Ratnasingham Shivaji, Inbo Sim
We prove the existence of ground state positive solutions for a class of semipositone -Laplacian problems with a critical growth reaction term. The proofs are established by obt…