One-dimensionality of solutions of semilinear elliptic problems in cylindrical domains

ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

Volumn 80, Issue 5, 2000, Pages 345-350

  Brock, F ^a  

^a UNIVERSITY OF LEIPZIG   (Germany)

Author keywords

Monotonicity of the solution; One dimensionality of the solution; Rearrangement; Semilinear elliptic boundary value problem

Indexed keywords

EID: 33646220202     PISSN: 00442267     EISSN: 15214001     Source Type: Journal    
DOI: 10.1002/(SICI)1521-4001(200005)80:5<345::AID-ZAMM345>3.0.CO;2-H     Document Type: Article

References (6)

1. ALBERTI, G.: A rearrangement result. Preprint (1998).
2. BERESTYCKI, H.; NIRENBERG, L.: Some qualitative properties of solutions of semilinear elliptic equations in cylindrical domains. In: RABINOWICZ, P. et al. (ed.): Analysis et cetera. Academic Press 1990, pp. 115-164.
3. BERESTYCKI, H.; NIRENBERG, L.: On the method of moving planes and the sliding method. Bol. Soc. Brasil. Mat. (N.S.) 22 (1991), 1-37.
4. BROCK, F.: An elementary proof for one-dimensionality of travelling waves in cylinders. J. Inequalities Appl. (to appear).
5. CARBOU, G.: Unicité et minimalité des solutions d'une équation de Ginzburg-Landau. Ann. Inst. Henri Poincaré: Anal. non Linéaire 12 (1995), 305-318.
6. DIAZ, J.I.: Nonlinear PDE and free boundaries. Vol.I: Elliptic equations. Pitman Research Notes 106, Boston 1985.