Singularly perturbed methods for nonlinear elliptic problems

Singularly perturbed methods for nonlinear elliptic problems

by Cao, Daomin

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"The development of variational methods is centered around a fundamental goal, namely, to and solutions for partial differential equations with variational structure. The history of such methods dated back to the 19th century. Despite its long history, these methods still have strong impact in today's research. New critical point theories, such as the mountain pass lemma of Ambrosetti and Rabinowitz, and the concentration compactness principle of P.L.Lions (see also Aubin [10], Brezis and Niren…

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Title Statements

  • Full title :Singularly perturbed methods for nonlinear elliptic problems / Daomin Cao, Shuangjie Peng, Shusen Yan.

Summary

"The development of variational methods is centered around a fundamental goal, namely, to and solutions for partial differential equations with variational structure. The history of such methods dated back to the 19th century. Despite its long history, these methods still have strong impact in today's research. New critical point theories, such as the mountain pass lemma of Ambrosetti and Rabinowitz, and the concentration compactness principle of P.L.Lions (see also Aubin [10], Brezis and Nirenberg [24]) have led to many beautiful results on the existence of nontrivial solutions for super-linear elliptic problems. However, these results are not very effective in ending solutions with higher energy for non-compact elliptic problems"--

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Edition Statements

  • Publication Date:©2021

Publication Statements

The Physical Object

  • Description:ix, 252 pages : illustrations : 24 cm.

Edition Identifiers

  • ISBN:9781108836838, 1108836836
  • oclc:on1249822264
  • LC Classification:QA377
  • Dewey Decimal:515/.3533

Subjects

Differential equations, Elliptic Differential equations, Nonlinear Équations différentielles elliptiques Équations différentielles non linéaires

Writers

Cao, Daomin Peng, Shuangjie Yan, Shusen

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