Geodesic
On nonexistence of nonnegative solutions for some quasilinear elliptic inequalities in a bounded domain
Eurasian mathematical journal, Tome 8 (2017) no. 4, pp. 74-83

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Using the test function method, we study sufficient conditions of nonexistence of nonnegative solutions for a quasilinear elliptic inequality of the form $-\mathrm{div}(u^r|Du|^{p-2}Du)\geqslant a(x)u^q|Du|^s$ in a bounded domain and its generalizations. 
@article{EMJ_2017_8_4_a8,
     author = {O. A. Salieva},
     title = {On nonexistence of nonnegative solutions for some quasilinear elliptic inequalities in a bounded domain},
     journal = {Eurasian mathematical journal},
     pages = {74--83},
     publisher = {mathdoc},
     volume = {8},
     number = {4},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EMJ_2017_8_4_a8/}
}
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O. A. Salieva. On nonexistence of nonnegative solutions for some quasilinear elliptic inequalities in a bounded domain. Eurasian mathematical journal, Tome 8 (2017) no. 4, pp. 74-83. http://geodesic.mathdoc.fr/item/EMJ_2017_8_4_a8/