807 research outputs found
regularity for the Laplacian in two-dimensional convex domains
In this paper we study the global regularity for solutions of the
Laplacian in two dimensional convex domains with Dirichlet boundary
conditions. Here with and
.Comment: 18 pages. Keywords: Variable exponent spaces. Elliptic Equations.
regularit
The first non-zero Neumann p-fractional eigenvalue
In this work we study the asymptotic behavior of the first non-zero Neumann p-fractional eigenvalue λ1(s,p) as s → 1- and as p → ∞. We show that there exists a constant K such that K(1-s)λ1(s,p) goes to the first non-zero Neumann eigenvalue of the p-Laplacian. While in the limit case p → ∞, we prove that λ-(1,s)1/p goes to an eigenvalue of the Hölder ∞-Laplacian.Fil: del Pezzo, Leandro Martin. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones CientÃficas y Técnicas; ArgentinaFil: Salort, Ariel Martin. Consejo Nacional de Investigaciones CientÃficas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas ; Argentin
An optimization problem for the first weighted eigenvalue problem plus a potential
In this paper, we study the problem of minimizing the first eigenvalue of the
Laplacian plus a potential with weights, when the potential and the weight
are allowed to vary in the class of rearrangements of a given fixed potential
and weight . Our results generalized those obtained in [9] and [5].Comment: 15 page
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