{"product_id":"minimax-theorems-von-michel-willem","title":"Minimax Theorems","description":"\u003cp\u003eMany boundary value problems are equivalent to Au=O (1) where A : X ---+ Y is a mapping between two Banach spaces. When the problem is variational, there exists a differentiable functional \u003c\/p\u003e\u003cp x lr such that a=\"\u0026lt;p',\" i. e. tv o t the space y corresponds then to topological dual of and equa tion is equivalent v vv e x. critical point solution u value at how find values when bounded from below infimum c natural candidate. ekeland variational principle implies exis tence sequence called palais-smale level c. functional satisfies condition if any has convergent subsequence. :=\"\"\u003e rand inf\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9781461286738\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9780817639136\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9781461286738","offer_id":39415716413533,"sku":"9781461286738","price":149.79,"currency_code":"EUR","in_stock":true},{"title":"Hardcover - 9780817639136","offer_id":51490660294,"sku":"9780817639136","price":149.79,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/5f4a272a-8eda-4b8e-9b9a-6c890c898205.jpg?v=1774674545","url":"https:\/\/shop.autorenwelt.de\/en\/products\/minimax-theorems-von-michel-willem","provider":"Autorenwelt Shop","version":"1.0","type":"link"}