An Introduction to Maximum Principles and Symmetry in Elliptic Problems
An Introduction to Maximum Principles and Symmetry in Elliptic Problems
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DOI：
10.1017/cbo9780511569203
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发表时间：
2000-04
期刊：
影响因子：
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通讯作者：
L. Fraenkel
中科院分区：
文献类型：
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作者：
L. Fraenkel
前言0。一些符号，术语和基本微积分。介绍2。椭圆型方程的几个极大值原理非线性泊松方程的对称性rn5中非线性泊松方程的对称性。有界集合中正解的单调性。附录a .牛顿势。附录B.调和函数与泊松方程的基本事实。附录C.西格尔型初函数的构造。附录D.散度定理及有关事项。附录E.边点引理。
Preface 0. Some notation, terminology and basic calculus 1. Introduction 2. Some maximum principles for elliptic equations 3. Symmetry for a non-linear Poisson equation 4. Symmetry for the non-linear Poisson equation in RN 5. Monotonicity of positive solutions in a bounded set O. Appendix A. On the Newtonian potential Appendix B. Rudimentary facts about harmonic functions and the Poisson equation Appendix C. Construction of the primary function of Siegel type Appendix D. On the divergence theorem and related matters Appendix E. The edge-point lemma Notes on sources References Index.