Instability and nonordering of localized steady states to a classs of reaction-diffusion equations in ℝ N

Author:

Sourdis Christos

Publisher

Cellule MathDoc/CEDRAM

Subject

General Mathematics

Reference23 articles.

1. [1] Alberti, Giovanni; Ambrosio, Luigi; Cabré, Xavier On a long-standing conjecture of E. De Giorgi: symmetry in 3D for general nonlinearities and a local minimality property, Acta Appl. Math., Volume 65 (2001) no. 1-3, pp. 9-33

2. [2] Berestycki, Henri; Caffarelli, Luis; Nirenberg, Louis Further qualitative properties for elliptic equations in unbounded domains, Ann. Sc. Norm. Super. Pisa, Cl. Sci., Volume 25 (1997) no. 1-2, pp. 69-94

3. [3] Berestycki, Henri; Nirenberg, Louis On the method of moving planes and the sliding method, Bol. Soc. Bras. Mat., Nova Sér., Volume 22 (1991) no. 1, pp. 1-37

4. [4] Berestycki, Henri; Nirenberg, Louis; Varadhan, S. R. Srinivasa The principal eigenvalue and maximum principle for second-order elliptic operators in general domains, Commun. Pure Appl. Math., Volume 47 (1994) no. 1, pp. 47-92

5. [5] Busca, Jérôme; Jendoubi, Mohamed Ali; Poláčik, Peter Convergence to equilibrium for semilinear parabolic problems in ℝ N , Commun. Partial Differ. Equations, Volume 27 (2002) no. 9-10, pp. 1793-1814

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