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

Format:

Book

Author/Creator:

Cao, Daomin, 1963- author.

Peng, Shuangjie, 1968- author.

Yan, Shusen, 1963- author.

Series:

Cambridge studies in advanced mathematics

Language:

English

Subjects (All):

Differential equations, Elliptic.

Differential equations, Nonlinear.

Physical Description:

ix, 252 pages : illustrations ; 24 cm.

Place of Publication:

Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2021.

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"-- Provided by publisher.

Notes:

Includes bibliographical references and index.

ISBN:

9781108836838

1108836836

OCLC:

1182019640