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R ~ N elliptic systems on non-standard growth Existence and multiplicity

Author: XuXianChun
Tutor: AnYuKun
School: Nanjing University of Aeronautics and Astronautics
Course: Applied Mathematics
Keywords: Nonlinear elliptic systems Non-standard growth conditions Generalized Orlicz-Sobolev spaces Critical point Domain Number Theory
CLC: O175
Type: Master's thesis
Year: 2007
Downloads: 10
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Abstract


In this paper, unbounded domains with non-standard growth conditions elliptic systems Existence and multiplicity . Articles generalized Orlicz spaces and generalized Orlicz-Sobolev spaces based on basic knowledge through research system of the ellipse corresponding Euler-Lagrange functional form and include weak - strong continuity , (S) sex , PS- compactness , Mountain-Pass geometry and other properties , the application of the minimum critical point theory exists principles and Mountain-Pass lemma elliptic systems in the nonlinear terms are \; application domains number Theory and fountain theorems were proved elliptic systems in its nonlinear term is \Benpian thesis is divided into five sections. The first part of this article describes the issues involved research status ; article, the second part of the brief behind some of the necessary generalized Orlicz spaces and generalized Orlicz-Sobolev spaces basics ; article first introduces the third part of the systems studied in this paper oval corresponding Euler-Lagrange functional form and nature , followed by the required proof behind some of the main theorem proving Lemma ; article the fourth part of the main application critical point theory Mountain-Pass cited Li proved elliptic systems in the nonlinear terms are \\In this section , the application domain Number Theory and fountain theorems were proved elliptic systems in its nonlinear term is \

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CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Differential equations, integral equations
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