A Smooth Variational Principle with Appl
A Smooth Variational Principle with Applications to Hamilton-Jacobi Equations in Infinite Dimensions
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R. Deville; G. Godefroy; V. Zizler
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Article
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1993
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Elsevier Science
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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