Geodesic
Elliptic and parabolic inequalities with point singularities on the boundary
Sbornik. Mathematics, Tome 200 (2009) no. 10, pp. 1417-1437

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It is shown that various quasilinear elliptic and parabolic differential inequalities and systems of such inequalities defined on bounded domains, and which have point singularities on the boundary do not have solutions. The method of nonlinear capacity is used in the proof. Examples show that the conditions obtained by this method cannot be improved in the class of problems under consideration. Bibliography: 14 titles.
Keywords: quasilinear equations, nonexistence of solutions, boundary singularities. 
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     author = {E. I. Galakhov},
     title = {Elliptic and parabolic inequalities with point singularities on the boundary},
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     url = {http://geodesic.mathdoc.fr/item/SM_2009_200_10_a0/}
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E. I. Galakhov. Elliptic and parabolic inequalities with point singularities on the boundary. Sbornik. Mathematics, Tome 200 (2009) no. 10, pp. 1417-1437. http://geodesic.mathdoc.fr/item/SM_2009_200_10_a0/