Titlebook: Nonlinear Diffusion Equations and Their Equilibrium States, 3; Proceedings from a C N. G. Lloyd,W. M. Ni,J. Serrin Conference proceedings 1

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,Local Existence and Uniqueness of Positive Solutions of the Equation ,, in ℝ, and a Related EquatioWe will consider radial solutions of the following problem: where, ϕ is a continuous radial function and ɛ is a small real parameter. This equation and its generalizations have been studied in a large numbers of papers (see for example [BE], [DN], [LN], [NI1&2]).

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Singularities of Solutions of a Class of Quasilinear Equations in Divergence Form,In Section 1 of this paper we study the behavior near the origin of the positive nonradial solutions of the doubly nonlinear .-dimensional partial differential equation

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On the Structure of Solutions for Some Semilinear Elliptic Equations,In this paper we shall review some recent results about the structure of the solution sets of equations and in ℝ., n ≥ 2, where, K≠ 0 is a given locally Hölder continuous function on ℝ. and σ > 1 is a constant. We shall consider mainly two types of solutions: ..(.) denotes a solution of (1.1) or (1.2) satisfying

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,Global Solutions for a Class of Monge-Ampère Equations,In this paper we prove, by shooting method, the existence of radially symmetric ground state solutions for a class of Monge-Ampère equations changing type.

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Nonlinear Diffusion Equations and Their Equilibrium States, 3978-1-4612-0393-3Series ISSN 1421-1750 Series E-ISSN 2374-0280