Isbn: 9780444521095 - elliptic boundary value problems of second order in piecewise smooth domains (volume 69) (north-holland mathematical library, volume 69) (3 Ergebnisse)

Zustand: New. In.

Zustand: New. * Precise exponents of the solution decreasing rate near boundary singular points and best possible conditions for this.* The question about the influence of the coefficients smoothness on the regularity of solutions.* New existence theorems for the Diric.

Buch. Zustand: Neu. Neuware - 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.Key features:\* New the Hardy - Friedrichs - Wirtinger type inequalities as well as new integral inequalities related to the Cauchy problem for a differential equation.\* Precise exponents of the solution decreasing rate near boundary singular points and best possible conditions for this.\* The question about the influence of the coefficients smoothness on the regularity of solutions.\* New existence theorems for the Dirichlet problem for linear and quasilinear equations in domains with conical points.\* The precise power modulus of continuity at singular boundary point for solutions of the Dirichlet, mixed and the Robin problems.\* The behaviour of weak solutions near conical point for the Dirichlet problem for m - Laplacian.\* The behaviour of weak solutions near a boundary edge for the Dirichlet and mixed problem for elliptic quasilinear equations with triple degeneration.…