A second‐order variational problem with a lack of coercivity | Zendy

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A second‐order variational problem with a lack of coercivity

Author(s) -

Moser Roger

Publication year - 2008

Publication title -

proceedings of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.899

H-Index - 65

eISSN - 1460-244X

pISSN - 0024-6115

DOI - 10.1112/plms/pdm042

Subject(s) - mathematics , coercivity , order (exchange) , nonlinear system , space (punctuation) , balanced flow , minification , construct (python library) , flow (mathematics) , mathematical analysis , pure mathematics , mathematical optimization , geometry , physics , computer science , condensed matter physics , quantum mechanics , finance , economics , programming language , operating system

For Ω ⊂ ℝ n and 2 n /( n − 2) < p ⩽ (2 n − 4)/( n − 4), we study the functionalE 2 ( u ) = 1 2∫ Ω( Δ u + | u | p − 2 u ) 2 d x .In an appropriate nonlinear space, the minimization problem can be solved using the direct method. We also construct solutions of the gradient flow.

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