Istituto di Matematica Applicata e Tecnologie Informatiche     
Shirakawa K. Asymptotic convergence of p-Laplace equations with constraint as p tends to 1. Preprint ercim.cnr.ian//2001-1224, 2001.
In this paper we treat the Euler-Lagrange equation of a functional including the p-Laplacian for 1 < p < 2. The limiting equation as p tends to 1 corresponds to a steady state problem of a modified Stefan-Gibbs-Thomson problem. Recently, the detailed structure of solutions of limiting equation has been studied. Here, our objective is to investigate the structure of the limit set of all solutions as p tends to 1, and clarify the relationship between the limit set and the solution set of the limiting equation.
Subject P-Laplace equations, steady-state solutions, asymptotic behavior as p tends to 1
35J25, 35J65, 35J55

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