Geodesic
Nonexistence of Solutions of Elliptic Differential Inequalities in Conic Domains
Matematičeskie zametki, Tome 71 (2002) no. 6, pp. 855-866

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We study some nonexistence problems for the solutions of semilinear elliptic differential inequalities and systems of second order in conic domains. The proof is based on the trial function method developed by Mitidieri and Pokhozhaev without recourse to comparison theorems and to the maximum principle. 
@article{MZM_2002_71_6_a5,
     author = {G. G. Laptev},
     title = {Nonexistence of {Solutions} of {Elliptic} {Differential} {Inequalities} in {Conic} {Domains}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {855--866},
     publisher = {mathdoc},
     volume = {71},
     number = {6},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2002_71_6_a5/}
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G. G. Laptev. Nonexistence of Solutions of Elliptic Differential Inequalities in Conic Domains. Matematičeskie zametki, Tome 71 (2002) no. 6, pp. 855-866. http://geodesic.mathdoc.fr/item/MZM_2002_71_6_a5/