3 papers
math.AP2022
A Fredholm Alternative for Elliptic with Interior and Boundary Nonlinear Reactions
Dan Maroncelli, Mauricio Rivas
In this paper we study the existence of solutions to the following generalized nonlinear two-parameter problem \begin{equation*} a(u, v) \; =\; λ\, b(u, m) + μ\, m(u, v) + \varepsi…
math.AP2017
Eigencurves for linear elliptic equations
M. A. Rivas, Stephen B. Robinson
This paper provides results for eigencurves associated with self-adjoint linear elliptic boundary value problems. The elliptic problems are treated as a general two-parameter eigen…
math.AP2015
Laplacian Eigenproblems on Product Regions and Tensor Products of Sobolev Spaces
Giles Auchmuty, M. A. Rivas
Characterizations of eigenvalues and eigenfunctions of the Laplacian on a product domain are obtained. When zero Dirichlet, Robin or Neumann boundary conditions are specified on ea…