Geodesic
A~General Approach to the Theory of Nonexistence of Global Solutions to Nonlinear Partial Differential Equations and Inequalities
Informatics and Automation, Differential equations and dynamical systems, Tome 236 (2002), pp. 285-297

Voir la notice de l'article provenant de la source Math-Net.Ru

A number of statements on the nonexistence of solutions to differential inequalities are proved with the use of the concept (introduced by the author) of nonlinear capacity induced by a differential operator. The results obtained jointly with E. Mitidieri, A. Tesei, and L. Veron are presented. 
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     author = {S. I. Pokhozhaev},
     title = {A~General {Approach} to the {Theory} of {Nonexistence} of {Global} {Solutions} to {Nonlinear} {Partial} {Differential} {Equations} and {Inequalities}},
     journal = {Informatics and Automation},
     pages = {285--297},
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     volume = {236},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2002_236_a28/}
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S. I. Pokhozhaev. A~General Approach to the Theory of Nonexistence of Global Solutions to Nonlinear Partial Differential Equations and Inequalities. Informatics and Automation, Differential equations and dynamical systems, Tome 236 (2002), pp. 285-297. http://geodesic.mathdoc.fr/item/TRSPY_2002_236_a28/