Geodesic
On higher order elliptic and parabolic inequalities with singularities on the boundary
Informatics and Automation, Function theory and differential equations, Tome 269 (2010), pp. 82-90

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

We prove the nonexistence of solutions to a number of higher order quasilinear elliptic and parabolic partial differential inequalities in bounded domains with point singularities on the boundary. The results are extended to systems of such inequalities. The proofs are based on the method of nonlinear capacity. We also present examples showing that the conditions obtained are sharp in the class of problems under consideration. 
@article{TRSPY_2010_269_a6,
     author = {E. I. Galakhov},
     title = {On higher order elliptic and parabolic inequalities with singularities on the boundary},
     journal = {Informatics and Automation},
     pages = {82--90},
     publisher = {mathdoc},
     volume = {269},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2010_269_a6/}
}
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E. I. Galakhov. On higher order elliptic and parabolic inequalities with singularities on the boundary. Informatics and Automation, Function theory and differential equations, Tome 269 (2010), pp. 82-90. http://geodesic.mathdoc.fr/item/TRSPY_2010_269_a6/