The sharp exponent for a Liouville-type theorem for an elliptic inequality

Rendiconti dell'Istituto di Matematica dell'Universita di Trieste

Volumn 34, Issue , 2002, Pages 99-102

  Gazzola, Filippo ^a  

^a UNIVERSITY OF EASTERN PIEDMONT   (Italy)

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Indexed keywords

EID: 84886293751     PISSN: 00494704     EISSN: 24648728     Source Type: Journal    
DOI: None     Document Type: Article

References (8)

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2. L. AMBROSIO AND X. CABRE, Entire solutions of semilinear ellitpic equations on r3 and a conjecture of De Giorgi, J. Amer. Math. Soc. 13 (2000), 725-739
3. M.T. BARLOW, On the Liouville property for divergence form operators, Canad. J. Math. 50 (1998), 487-496
4. H. BERESTYCKI, L. CAFFARELLI, AND L. NIRENBERG, Further qualitative properties for elliptic equations in unbounded domains, Ann. Sc. Norm. Sup. Pisa 25 (1997), 69-94
5. D. DE GIORGI, Convergence problems for functionals and operators, Proc. Int. Meeting on Recent Methods in Nonlinear Analysis (Roma, 1978) (Bologna), Pitagora, 1979, pp. 131-188
6. N. GHOUSSOUB AND C. GUI, On a conjecture of De Giorgi and some related problems, Math. Ann. 311 (1998), 481-491
7. E. MITIDIERI AND S. POHOZAEV, Nonexistence of global positive solutions to quasilinear elliptic inequalities, Dokl. Akad. Nauk. 359 (1998), 456-460
8. E. MITIDIERI AND S. POHOZAEV, Apriori estimates and blow-up of solutions to nonlinear partial differential equations and inequalities, Proc. Steklov Inst. Math. 234 (2001), 1-362, (translated from Russian)