Abstract.
We study the problem of non-existence of positive solutions to the elliptic inequalities involving quasilinear operators of the type −divA(x,u,∇u)≥|x|sup, in the exterior domains in ℝN, N≥3, p>1.
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Acknowledgement Parts of this work were discussed during I.V.Skrypnik’s visit to Bristol. Support of the Institute of Advanced Studies of the University of Bristol via a Benjamin Meaker Professorship is gratefully acknowledged.
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Liskevich, V., Skrypnik, I. & Skrypnik, I. Positive supersolutions to general nonlinear elliptic equations in exterior domains. manuscripta math. 115, 521–538 (2004). https://doi.org/10.1007/s00229-004-0514-5
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DOI: https://doi.org/10.1007/s00229-004-0514-5