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Series 
De Gruyter Series in Nonlinear Analysis and Applications Ser. ; v.5 

De Gruyter Series in Nonlinear Analysis and Applications Ser

Note 
Intro  List of symbols, theorems, definitions, assumptions, examples  List of symbols  List of theorems  List of definitions  List of assumptions  List of examples  0 Introduction  1 Preliminaries  1.1 The domain Ω  1.2 Function spaces  1.3 Caratheodory functions, Nemytskij (superposition) operators  1.4 Function spaces (continued)  1.5 Weighted Sobolev spaces  1.6 LerayLions theorem  1.7 Degree of mappings of monotone type  1.8 Harnacktype inequality, decay of solution, local regularity and interpolation inequality  1.9 Some technical lemmas  2 Solvability of nonlinear boundary value problems  2.1 Formulation of the problem  2.2 Second order equations (bounded domains)  2.3 Second order equations (proof of Theorem 2.1)  2.4 Second order equations (unbounded domains)  2.5 Higher order equations (growth conditions)  2.6 Higher order equations (operator representation)  2.7 Higher order equations (degree of the mapping T)  2.8 Higher order equations (existence results)  2.9 Examples, remarks, comments  3 The degenerated pLaplacian on a bounded domain  3.1 Basic notation  3.2 Existence of the least eigenvalue of the homogeneous eigenvalue problem  3.3 Existence of the least eigenvalue of the nonhomogeneous eigenvalue problem  3.4 Maximum principle for degenerated (singular) equations  3.5 Positive solutions of degenerated (singular) BVP  3.6 Bifurcation from the least eigenvalue  4 The pLaplacian in ℝN  4.1 Nonlinear eigenvalue problem  4.2 Bifurcation problem for the pLaplacian in ℝN  4.3 Bifurcation problem for the perturbed pLaplacian in ℝN  Bibliography  Index 

The series is devoted to the publication of highlevel monographs which cover the whole spectrum of current nonlinear analysis and applications in various fields, such as optimization, control theory, systems theory, mechanics, engineering, and other sciences. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of nonlinear analysis. Contributions which are on the borderline of nonlinear analysis and related fields and which stimulate further research at the crossroads of these areas are particularly welcome. Please submit book proposals toJürgen Appell 

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2020. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries 
Link 
Print version: Kufner, Alois Quasilinear Elliptic Equations with Degenerations and Singularities
Berlin/Boston : De Gruyter, Inc.,c1997 9783110154900

Subject 
Differential equations, Elliptic  Numerical solutions.;Boundary value problems  Numerical solutions.;Bifurcation theory


Electronic books

Alt Author 
Nicolosi, Francesco


ábek, Pavel


Nicolosi, Francesco

