Geodesic
On higher order elliptic and parabolic inequalities with singularities on the boundary
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function theory and differential equations, Tome 269 (2010), pp. 82-90

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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{TM_2010_269_a6,
     author = {E. I. Galakhov},
     title = {On higher order elliptic and parabolic inequalities with singularities on the boundary},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {82--90},
     publisher = {mathdoc},
     volume = {269},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2010_269_a6/}
}
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E. I. Galakhov. On higher order elliptic and parabolic inequalities with singularities on the boundary. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function theory and differential equations, Tome 269 (2010), pp. 82-90. http://geodesic.mathdoc.fr/item/TM_2010_269_a6/