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Critical point theory

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  • Research mission: Outline, summarize the main points of feminist theory. Identify the system of female characters and their role in E. Hemingway’s works. From theory “feminist critique”, explains some characteristics of female characters in E. Hemingway’s works. Format E. Hemingway's female characters in American traditional literary. Provide a new approach to E. Hemingway’s works.

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  • We classify the measure theoretic attractors of general C 3 unimodal maps with quadratic critical points. The main ingredient is the decay of geometry. 1. Introduction 1.1. Statement of results. The study of measure theoretical attractors occupied a central position in the theory of smooth dynamical systems in the 1990s. Recall that a forward invariant compact set A is called a (minimal) metric attractor for some dynamics if the basin of attraction B(A) := {x : ω(x) ⊂ A} of A has positive Lebesgue measure and B(A ) has Lebesgue measure zero for every forward invariant compact set...

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  • EIGENVALUE PROBLEMS FOR DEGENERATE NONLINEAR ELLIPTIC EQUATIONS IN ANISOTROPIC MEDIA ˘ DUMITRU MOTREANU AND VICENTIU RADULESCU ¸ Received 23 September 2004 and in revised form 26 November 2004 We study nonlinear eigenvalue problems of the type − div(a(x)∇u) = g(λ,x,u) in RN , where a(x) is a degenerate nonnegative weight. We establish the existence of solutions and we obtain information on qualitative properties as multiplicity and location of solutions. Our approach is based on the critical point theory in Sobolev weighted spaces combined with a Caffarelli-Kohn-Nirenberg-type inequality.

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  • EXISTENCE OF INFINITELY MANY NODAL SOLUTIONS FOR A SUPERLINEAR NEUMANN BOUNDARY VALUE PROBLEM AIXIA QIAN Received 12 January 2005 We study the existence of a class of nonlinear elliptic equation with Neumann boundary condition, and obtain infinitely many nodal solutions. The study of such a problem is based on the variational methods and critical point theory. We prove the conclusion by using the symmetric mountain-pass theorem under the Cerami condition. 1. Introduction Consider the Neumann boundary value problem: − u + αu = f (x,u), ∂u = 0, ∂ν x ∈ Ω, (1.

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