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Fourth Mississippi State Conference on Differential Equations and Computational Simulations
May 21-22, 1999
Mississippi State University and Electronic Journal of Differential Equations
Starkville, MS, USA

Organizers
Ratnasingham Shivaji, Bharat Soni, Jianping Zhu (Program Chair)

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Existence and Uniqueness of Fast Decay Entire Solutions of Quasilinear Elliptic Equations
by
Moxun Tang
School of mathematics, University of Minnesota, Minneapolis, MN 55455

We prove the existence and uniqueness of fast decay solutions and clarify the structure of positive radial solutions for a class of m-Laplacian elliptic equations in the n-dimensional Euclidean space. Our proofs use only elementary argument based on two variational identities due to Ni-Pucci-Serrin and Erbe-Tang, a characterization of radial solutions, and a maximum principle of Peletier and Serrin. Some application of our methods to the study of uniqueness in a finite ball, especially for the equation which has an exponential growth nonlinearity, will also be mentioned.

Date received: March 24, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cacr-23.