Some hydrodynamic applications of function theoretic properties of elliptic equations
β Scribed by D. Gilbarg
- Publisher
- Springer-Verlag
- Year
- 1959
- Tongue
- French
- Weight
- 527 KB
- Volume
- 72
- Category
- Article
- ISSN
- 0025-5874
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## Abstract This paper is concerned with properties and applications of monotone rearrangement as defined in [18]. Unlike the Schwarz and Steiner symmetrization, in the monotone rearrangement framework, the inequality for the Dirichlet integral holds for all functions in __H__^1^ (not only __H__^1^
We prove the existence of bounded solutions of some boundary value problems for degenerate elliptic equations of second order in divergence form. Our results cover also the unbounded domain case. We discuss also the uniqueness problem and asymptotic behaviour of the solutions of our equation.