Download E-books Singular Elliptic Problems: Bifurcation and Asymptotic Analysis PDF

Analysis

By Ghergu M., Radulescu V.

This publication presents a finished creation to the mathematical concept of nonlinear difficulties defined by way of singular elliptic equations. There are rigorously analyzed logistic kind equations with boundary blow-up strategies and generalized Lane-Emden-Fowler equations or Gierer-Meinhardt structures with singular nonlinearity in anisotropic media. those nonlinear difficulties look as mathematical types in a number of branches of Physics, Mechanics, Genetics, Economics, Engineering, and they're additionally suitable in Quantum Physics and Differential Geometry.One of the most reasons of this quantity is to infer decay premiums for common periods of recommendations when it comes to estimates of specific difficulties. a lot of the fabric incorporated during this quantity is dedicated to the asymptotic research of suggestions and to the qualitative research of similar bifurcation difficulties. Numerical approximations illustrate many summary result of this quantity. a scientific description of the main correct singular phenomena defined in those lecture notes comprises life (or nonexistence) of recommendations, unicity or multiplicity homes, bifurcation and asymptotic research, and optimum regularity.The approach to presentation should still entice readers with varied backgrounds in sensible research and nonlinear partial differential equations. All chapters comprise special heuristic arguments delivering thorough motivation of the examine constructed afterward within the textual content, in courting with concrete methods bobbing up in technologies. The publication contains an in depth bibliography and a wealthy index, therefore making an allowance for fast orientation one of the giant selection of literature at the mathematical conception of nonlinear singular phenomena

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