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Variational principle for Zakharov–Shabat equations in two-dimensions

✍ Scribed by Helal, M.A.; Seadawy, A.R.; Ibrahim, R.S.


Book ID
121735082
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
955 KB
Volume
219
Category
Article
ISSN
0096-3003

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A Smooth Variational Principle with Appl
✍ R. Deville; G. Godefroy; V. Zizler 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 557 KB

We prove that if \(X\) is a Banach space which admits a smooth Lipschitzian bump function. then for every lower semicontinuous bounded below function \(f\), there exists a Lipschitzian smooth function \(g\) on \(X\) such that \(f+g\) attains its strong minimum on \(X\), thus extending a result of Bo