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

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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. 
@article{TM_2002_236_a28,
     author = {S. I. Pokhozhaev},
     title = {A~General {Approach} to the {Theory} of {Nonexistence} of {Global} {Solutions} to {Nonlinear} {Partial} {Differential} {Equations} and {Inequalities}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {285--297},
     publisher = {mathdoc},
     volume = {236},
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     url = {http://geodesic.mathdoc.fr/item/TM_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. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 236 (2002), pp. 285-297. http://geodesic.mathdoc.fr/item/TM_2002_236_a28/