Vol. 129, No. 2, 1987

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Eigenfunctions of the nonlinear equation Δu + νf(x,u) = 0 in R2

Mei-Chi Shaw

Vol. 129 (1987), No. 2, 349–356
Abstract

In this paper we consider the existence of eigenfunctions of the boundary value problem for the nonlinear equation mentioned in the title with vanishing boundary values on bounded planar domains.

Mathematical Subject Classification 2000
Primary: 35P30
Secondary: 35J65
Milestones
Received: 29 March 1986
Published: 1 October 1987
Authors
Mei-Chi Shaw
Department of Mathematics
University of Notre Dame
Notre Dame IN 46556-5641
United States