WebOct 3, 1994 · This book investigates boundary value problems for nonlinear elliptic equations of arbitrary order. In addition to monotone operator methods, a broad range of applications of topological methods to nonlinear differential equations is presented: solvability, estimation of the number of solutions, and the branching of solutions of … WebApr 11, 2024 · Families of elliptic boundary problems and index theory of the Atiyah-Bott classes. We study a natural family of non-local elliptic boundary problems on a compact oriented surface parametrized by the moduli space of flat -connections with framing along . This family generalizes one introduced by Atiyah and Bott for closed surfaces.
Dirichlet problem - Wikipedia
WebMay 29, 2024 · This chapter is devoted to general boundary value problems for second order elliptic differential operators in the framework of \(L^{2}\) Sobolev spaces. In Sect. … WebBoundary value problems for degenerate semilinear elliptic pseudodifferential operators are considered. Using the apparatus of the theory of pseudodifferential operators, … integris grove primary care
A class of Schrödinger elliptic equations involving supercritical ...
WebWe investigate the elliptic equation of order , degenerate on the boundary of a bounded domain . In local coordinates , introduced in a neighborhood of the point and in which is … WebAn elliptic boundary-value problem for second-order equations with nonnegative characteristic form is investigated in the situation when there is a weak degeneracy on the boundary of the domain. A… Expand 3 Save Alert GENERAL BOUNDARY VALUE PROBLEMS FOR A CLASS OF SINGULAR AND DEGENERATE ELLIPTIC … WebJan 12, 2006 · 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 ... joe madison black eagle watch