Joao V. da Silva, Julio D. Rossi, Ariel M. Salort
Published 2017-03-23Version 1
In this article we study the behavior as $p \nearrow+\infty$ of the Fucik spectrum for $p$-Laplace operator with zero Dirichlet boundary conditions in a bounded domain $\Omega\subset \mathbb{R}^n$. We characterize the limit equation, and we provide a description of the limit spectrum. Furthermore, we show some explicit computations of the spectrum for certain configurations of the domain.
On the First Eigenvalue of the Degenerate $p$-Laplace Operator in Non-Convex Domains
Strict monotonicity of the first $q$-eigenvalue of the fractional $p$-Laplace operator over annuli
Neumann problem on a torus
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