Critical semilinear equations on the Heisenberg group: the effect of the topology of the domain
β Scribed by G. Citti; F. Uguzzoni
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 165 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In this paper, we study the effect of domain shape on the number of positive and nodal (sign-changing) solutions for a class of semilinear elliptic equations. We prove a semilinear elliptic equation in a domain β¦ that contains m disjoint large enough balls has m 2 2-nodal solutions and m positive so
The magnetic field (H) -temperature (T) phase boundary has been measured for mesoscopic superconducting samples of different topology (lines, loops and dots). Both the quantization effects and the slope of the Hc(T) line are fiflly governed by the confinement geometry. As a result, "quantum design"
In this paper, we investigate the superstability of d'Alembert's functional equation where H is the Heisenberg group and the map i : H -β H is an automorphism of H such that i β’ i = id (the identity map).