{"product_id":"computer-assisted-enclosures-for-fourth-order-elliptic-equations-multiplicity-of-solutions-of-nonlinear-equations-von-borbala-fazekas","title":"Computer-assisted enclosures for fourth order elliptic equations","description":"\u003cp\u003e\"Concerning (partial) differential equations, amongst many others two questions are of great importance: existence and uniqueness, or more general multiplicity of solutions... There are plenty of equations, where analytical methods fail to work.\" The author describes in this work a computer-assisted method for proving existence and multiplicity of solutions of fourth order nonlinear elliptic boundary value problems. The main idea of this method is to compute a good numerical approximation of a solution and certain defect bounds with computer-assistance. Then a rigorous proof of the existence of an exact solution close to the numerical one is obtained by a fixed-point argument. The efficiency of this method is demonstrated with the examples of the fourth order Gelfand- and Emden-equations on various domains.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783838118345\"\u003e\u003ch3\u003eMultiplicity of solutions of nonlinear equations\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9783838118345","offer_id":39427141697629,"sku":"9783838118345","price":69.9,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/fe789d3d-7d75-4949-b25b-c5acc907aecd.jpg?v=1776316451","url":"https:\/\/shop.autorenwelt.de\/products\/computer-assisted-enclosures-for-fourth-order-elliptic-equations-multiplicity-of-solutions-of-nonlinear-equations-von-borbala-fazekas","provider":"Autorenwelt Shop","version":"1.0","type":"link"}