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Elliptic Boundary Value Problems of Second Order in Piecewise Smooth Domains
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free shipping in Poland for all orders over 500 PLN
Same day shipping
If your payment will be credited to our account by 11:00
14 days for return
Each consumer can return the purchased goods within 14 days
Key features:
* New the Hardy - Friedrichs - Wirtinger type inequalities for a differential equation.
* Precise exponents of the solution decreasing near the best possible conditions.
* The question about the impact of 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 the Dirichlet, mixed and the Robin problems.
* The behavior of weak solutions for the Dirichlet problem for m - Laplacian.
* The behavior of weak solutions for elliptic quasilinear equations with triple degeneration.
* Precise exponents of the solution decreasing near the best possible conditions.
* The question about the impact of 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 the Dirichlet, mixed and the Robin problems.
* The behavior of weak solutions for the Dirichlet problem for m - Laplacian.
* The behavior of weak solutions for elliptic quasilinear equations with triple degeneration.
Introduction.
1. Preliminaries.
2. Integral inequalities.
3. The Laplace operator.
4. Strong solutions of the Dirichlet problem for linear equations.
5. The Dirichlet problem for elliptic linear.
divergent equations in a nonsmooth domain.
6. The Dirichlet problem for semilinear equations in a conical domain.
7. Strong solutions of the Dirichlet problem for nondivergence quasilinear equations.
8. Weak solutions of the Dirichlet problem for elliptic divergence form quasilinear equations.
9. The behavior of weaknesses to the limitary value problems for elliptic quasilinear equations with triple degeneration.
10. Sharp estimates of solutions to the Robin.
boundary value problem for elliptic non divergence second order equations in a neighborhood of the conical point.
Bibliography.
Notation Index.
Index.
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