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The nonexistence of positive solutions of some elliptic equations

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Publication:1569759
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DOI10.1007/BF02675360zbMath0964.35043OpenAlexW1992622249MaRDI QIDQ1569759

Vasilii V. Kurta

Publication date: 9 July 2000

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02675360


zbMATH Keywords

nonexistencequasilinear elliptic equationsgeneralized supersolutionrestrictions on the growth of an operator


Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)


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A Liouville comparison principle for sub- and super-solutions of the equation \(w_{t} - \Delta _{p} (w) = |w|^{q-1} w\) ⋮ Partial differential equations. Transl. from the Russian ⋮ On the critical Fujita exponents for solutions of quasilinear parabolic inequalities



Cites Work

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  • Local and global behaviour of solutions of quasilinear equations of Emden-Fowler type
  • Superlinear indefinite elliptic problems and nonlinear Liouville theorems
  • A comparison principle for quasilinear elliptic equations
  • Global and local behavior of positive solutions of nonlinear elliptic equations
  • Department of technical mathematics and informatics university of technology
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