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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.AP2023
Reverse Faber-Krahn and Szego-Weinberger type inequalities for annular domains under Robin-Neumann boundary conditions
T. V. Anoop, Vladimir Bobkov, Pavel Drabek
Let be the -th eigenvalue of the Laplace operator in a bounded domain of the form under the Neumann boundary condition on…