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The articles of this volume will be reviewed individually. The 19th seminar (1994) has been reviewed (see Zbl 0811.00017).
Publisher’s description:
The nonlinear theory of differential equations is a rapidly developing area of mathematics, and many important results have been obtained by the use of nonlinear functional analysis based on topological and variational methods. The survey papers presented in this volume represent the current state of the art in the subject and include detailed bibliographies, providing the reader with recent results in an accessible form. The methods outlined in this book can be used to obtain new results concerning the existence, uniqueness, multiplicity and bifurcation of the solutions of nonlinear boundary value problems for ordinary and partial differential equations. The authors of all the contributions are well known mathematicians, and every paper contained in this book can serve both as a source of reference for researchers working in differential equations and as a starting point for those wishing to pursue research in this direction. Previous knowledge of the theory of differential equations and nonlinear functional analysis at university level is assumed. university level is assumed.
Indexed articles:
Berkovits, J., Some extensions of topological degree theory with applications to nonlinear problems, 1-29 [Zbl 0906.47047]
Gossez, J.-P., Some remarks on the antimaximum principle, 30-34 [Zbl 0896.35021]
Pohozaev, A. I., The fibering method in nonlinear variational problems, 35-88 [Zbl 0901.35018]
Szulkin, A., Index theories for indefinite functionals and applications, 89-121 [Zbl 0918.58017]
Skrypnik, I. V., Topological characteristics of fully nonlinear parabolic problems., 122-155 [Zbl 1155.35388]