{"product_id":"9780080461731","title":"Elliptic Boundary Value Problems of Second Order in Piecewise Smooth Domains","description":"The book contains a systematic treatment of the qualitative theory of elliptic boundary value problems for linear and quasilinear second order equations in non-smooth domains.  The authors concentrate on the following fundamental results: sharp estimates for strong and weak solutions, solvability of the boundary value problems, regularity assertions for solutions near singular points.\u003cp\u003e\u003cbr\u003e\u003cbr\u003eKey features:\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e* New the  Hardy – Friedrichs – Wirtinger type inequalities as well as new integral inequalities related to the Cauchy problem for a differential equation. \u003cbr\u003e* Precise exponents of the solution decreasing rate near boundary  singular points and best possible conditions for this. \u003cbr\u003e* The question  about the influence of the coefficients smoothness on the regularity of solutions. \u003cbr\u003e* New existence theorems for the Dirichlet problem for linear and quasilinear equations in domains with conical points. \u003cbr\u003e* The precise power modulus  of continuity at singular boundary point for solutions of the Dirichlet, mixed and the Robin problems. \u003cbr\u003e* The behaviour of weak solutions near conical point for the Dirichlet problem for m – Laplacian. \u003cbr\u003e* The behaviour of weak solutions near a boundary edge  for the Dirichlet and mixed problem for elliptic quasilinear equations with triple degeneration.\u003cbr\u003e\u003cbr\u003e* Precise exponents of the solution decreasing rate near boundary  singular points and best possible conditions for this. \u003cbr\u003e* The question  about the influence of the coefficients smoothness on the regularity of solutions. \u003cbr\u003e* New existence theorems for the Dirichlet problem for linear and quasilinear equations in domains with conical points. \u003cbr\u003e* The precise power modulus  of continuity at singular boundary point for solutions of the Dirichlet, mixed and the Robin problems. \u003cbr\u003e* The behaviour of weak solutions near conical point for the Dirichlet problem for m - Laplacian. \u003cbr\u003e* The behaviour of weak solutions near a boundary edge  for the Dirichlet and mixed problem for elliptic quasilinear equations with triple degeneration.\u003c\/p\u003e","brand":"Elsevier Science","offers":[{"title":"Default Title","offer_id":47105937604848,"sku":"9780080461731","price":240.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9780080461731_p0.jpg?v=1763637160","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9780080461731","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}