Singularly perturbed methods for nonlinear elliptic problems /
"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...
Saved in:
Main Authors: | |
---|---|
Group Author: | ; |
Published: |
Cambridge University Press,
|
Publisher Address: | Cambridge, United Kingdom : |
Publication Dates: | 2021. |
Literature type: | Book |
Language: | English |
Series: |
Cambridge studies in advanced mathematics ;
191 |
Subjects: | |
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"-- |
Carrier Form: | ix, 252 pages ; 24 cm. |
Bibliography: | Includes bibliographical references (pages 242-250) and index. |
ISBN: |
9781108836838 1108836836 9781108872638 1108872638 |
Index Number: | QA377 |
CLC: | O175.25 |
Call Number: | O175.25/C235 |