Some Simple Nonlinear PDE's Without Solutions

Bollettino della Unione Matematica Italiana B

Volumn , Issue 2, 1998, Pages 223-262

  Brezis, Haïm ^a,b   Cabré, Xavier ^a  

^a SORBONNE UNIVERSITÉ   (France)

^b RUTGERS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0347565270     PISSN: 03924041     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (13)

1. max for the solution of a semilinear heat equation, J. Funct. Anal., 71 (1987), 142-174.
2. P. BARAS - M. PIERRE, Singularités éliminables pour des équations semi-linéaires, Ann. Inst. Fourier, 34 (1984), 185-206.
3. P. BARAS - M. PIERRE, Critère d'existence de solutions positives pour des équations semi-linéaires non monotones, Ann. Inst. Henri Poincaré, 2 (1985), 185-212.
4. t - Δu = g(u) revisited, Ad. Diff. Eq., 1 (1996), 73-90.
5. 1, J. Math. Soc. Japan, 25 (1973), 565-590.
6. H. BREZIS - J. L. VÁZQUEZ, Blow-up solutions of some nonlinear elliptic problems, to appear.
7. 1, Proc. Royal Soc. Edinburgh, 96A (1984), 275-288.
8. N. J. KALTON -I. E. VERBITSKY, Nonlinear equations and weighted norm inequalities, to appear.
9. T. KATO, Schröedinger operators with singular potentials, Israel J. Math., 13 (1972), 135-148.
10. t - Δu - g(u), to appear.
11. J.-M. MOREL - L. OSWALD, A uniform formulation for Hopf maximum principle (1985, unpublished preprint).
12. I. PERAL - J. L. VÁZQUEZ, On the stability or instability of the singular solution of the semilinear heat equation with exponential reaction term, Arch. Rational Mech. Anal., 129 (1995), 201-224.
13. Z. ZHAO, Green function for Schrödinger operator and conditional Feynman-Kac gauge, J. Math. Anal. Appl., 116 (1986), 309-334.