文章基本信息

标题：Minimax Principles for the Solution of Semilinear Gradient Operator Equations in Hilbert Space
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作者：Melvyn S. Berger
期刊名称：Proceedings of the National Academy of Sciences
印刷版ISSN：0027-8424
电子版ISSN：1091-6490
出版年度：1973
卷号：70
期号：5
页码：1519-1520
DOI：10.1073/pnas.70.5.1519
语种：English
出版社：The National Academy of Sciences of the United States of America
摘要：A new variational characterization of solutions for an important class of nonlinear operator equations is obtained. The result obtained is used to derive sharp necessary and sufficient conditions for the solvability of such operator equations. Examples of the applicability of the results obtained to nonlinear Dirichlet problems and global differential geometry are discussed.