On nonexistence of positive solutions of quasi-linear inequality on Riemannian manifolds

DOI10.1090/S0002-9939-2015-12705-0zbMath1319.35312OpenAlexW1995338212WikidataQ115289234 ScholiaQ115289234MaRDI QIDQ5246923

Yuhua Sun

Publication date: 22 April 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2015-12705-0

zbMATH Keywords

Riemannian manifoldcritical exponentvolume growthquasi-linear inequalities

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Partial differential inequalities and systems of partial differential inequalities (35R45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Positive solutions to PDEs (35B09) PDEs on manifolds (35R01)

Related Items (12)

Nonexistence results for elliptic differential inequalities with a potential in bounded domains ⋮ Nonnegative solutions of a fractional differential inequality on Grushin spaces and nilpotent Lie groups ⋮ Gradient estimate for solutions of the equation \(\Delta_p v +av^q=0\) on a complete Riemannian manifold ⋮ Uniqueness of nonnegative solutions to elliptic differential inequalities on Finsler manifolds ⋮ On a class of nonlinear evolution inequalities of convolution type on Riemannian manifolds ⋮ Quasilinear Laplace equations and inequalities with fractional orders ⋮ Nonexistence of solutions to parabolic differential inequalities with a potential on Riemannian manifolds ⋮ Nonexistence of solutions to quasilinear parabolic equations with a potential in bounded domains ⋮ A uniqueness principle for up ≤ (−Δ)α 2u in the Euclidean space ⋮ Nonlinear Liouville-type theorems for generalized Baouendi-Grushin operator on Riemannian manifolds ⋮ An elliptic equation on n-dimensional manifolds ⋮ Hyperbolic inequalities involving nonlinear convolution terms on Riemannian manifolds

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