{"product_id":"local-and-global-aspects-of-quasilinear-degenerate-elliptic-equations","title":"Local and Global Aspects of Quasilinear Degenerate Elliptic Equations","description":"\u003cul class=\"tabs\"\u003e\n\u003cli class=\"active\"\u003eDescription\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cul class=\"tabs-content\"\u003e\n\u003cli class=\"active\"\u003e\n\u003cp\u003eThis book is devoted to the study of elliptic second-order degenerate quasilinear equations, the model of which is the p-Laplacian, with or without dominant lower order reaction term. Emphasis is put on three aspects:\u003c\/p\u003e\n\u003cp\u003eThe existence of separable singular solutions enables the description of isolated singularities of general solutions. The construction of singular solutions is delicate and cannot be done without the understanding of the spherical p-harmonic eigenvalue problem.\u003cbr\u003e When the equations are considered on a Riemannian manifold, existence or non-existence of solutions depends on geometric assumptions such as the curvature. A priori estimates and Liouville type problems are analyzed.\u003cbr\u003e When the equations are considered with a forcing term in the class of measures, their study is strongly linked to the properties of a class of potentials appearing in harmonic analysis such as the Riesz, the Bessel or the Wolff potentials and to their associated capacities. Necessary and sufficient conditions for existence of solutions link the continuity of the measure with respect to some appropriate capacity.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"World Scientific","offers":[{"title":"Default Title","offer_id":32123182383217,"sku":"9789814730327","price":210.0,"currency_code":"SGD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0550\/0041\/products\/Local-and-Global-Aspects-of-Quasilinear-Degenerate-Elliptic-Equations-Quasilinear-Elliptic-Singular-Problems-Laurent-Veron-00.jpg?v=1602760458","url":"https:\/\/epigrambookshop.xyz\/products\/local-and-global-aspects-of-quasilinear-degenerate-elliptic-equations","provider":"Epigram","version":"1.0","type":"link"}