## Dedicated to the memory of Leonid R. Volevich Let X = (X1, . . . , Xm) be an infinitely degenerate system of vector fields. We study the existence and regularity of multiple solutions of the Dirichlet problem for a class of semi-linear infinitely degenerate elliptic operators associated with th
Regularity of a Class of Quasilinear Degenerate Elliptic Equations
โ Scribed by Pengfei Guan
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 320 KB
- Volume
- 132
- Category
- Article
- ISSN
- 0001-8708
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
This paper deals with the existence of positive solutions of convection-diffusion ลฝ . ลฝ< <. n ลฝ . equations โฌ u q f x, u q g x x. ูu s 0 in exterior domains of R nG3 .
We investigate the evolution problem u#m("Au")Au"0, u( where H is a Hilbert space, A is a self-adjoint linear non-negative operator on H with domain D(A), and We prove that if u 3D(A), and m("Au ")O0, then there exists at least one global solution, which is unique if either m never vanishes, or m
## Abstract We study the asymptotic behaviour of the solution of a stationary quasilinear elliptic problem posed in a domain ฮฉ^(__ฮต__)^ of asymptotically degenerating measure, i.e. meas ฮฉ^(__ฮต__)^ โ 0 as __ฮต__ โ 0, where __ฮต__ is the parameter that characterizes the scale of the microstructure. We
Using variational methods we study the existence and multiplicity of solutions of the Dirichlet problem for the equation p py2 ydiv a ูu ูu ูu s f x, u .
## Abstract We study the properties of the positive principal eigenvalue of a degenerate quasilinear elliptic system. We prove that this eigenvalue is simple, unique up to positive eigenfunctions and isolated. Under certain restrictions on the given data, the regularity of the corresponding eigenfu