Weighted Inequalities and Degenerate Elliptic Partial Differential Equations is een boek van E. W. Stredulinsky... Lees meer.

A self-contained treatment appropriate for advanced undergraduate and graduate students this volume offers a detailed development of the necessary background for its survey of the nonlinear potential theory of superharmonic functions.Starting with the theory of weighte... Lees meer.

We study maximum principles for a class of linear degenerate elliptic differential operators of the second order. The Weak and Strong Maximum Principles are shown to hold for this class of operators in bounded domains as well as a Hopf type lemma under suitable hypot... Lees meer.

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A self-contained treatment appropriate for advanced undergraduate and graduate students this volume offers a detailed development of the necessary background for its survey of the nonlinear potential theory of superharmonic functions. Starting with the theory of weight... Lees meer.

Boundary value problems and smoothness of solutions to nonlinear elliptic equations and linear degenerate elliptic equations have been studied for more than a century. However the study of nonlinear degenerate elliptic equations is not enough taken up. This book is bas... Lees meer.

This book is devoted to the study of elliptic second-order degenerate quasilinear equations the model of which is the p-Laplacian with or without dominant lower order reaction term. Emphasis is put on three aspects.... Lees meer.

A self-contained treatment appropriate for advanced undergraduates and graduate students this text offers a detailed development of the necessary background for its survey of the nonlinear potential theory of superharmonic functions. Starting with the theory of weight... Lees meer.

This book is devoted to the study of elliptic second-order degenerate quasilinear equations the model of which is the p-Laplacian with or without dominant lower order reaction term. Emphasis is put on three aspects.... Lees meer.

The first part of the book is devoted to the transport equation for a given vector field exploiting the lagrangian structure of solutions. It also treats the regularity of solutions of some degenerate elliptic equations which appear in the eulerian counterpart of some... Lees meer.

0.1 The partial differential equation 1 Au x L aa x Dau x f x m lal9 is called elliptic on a set G provided that the principal symbol a2m X L aa x a lal 2m of the operator A is invertible on G X n 0 A is called elliptic on G too. This definition wo... Lees meer.

A study of the properties of wide classes of degenerate elliptic operators of arbitrary order and pseudo-differential operators with multiple characteristics. Conditions for operators to be Fredholm in appropriate weighted Sobolev spaces are given and a priori estimate... Lees meer.