- PII
- 10.31857/S2686954324040039-1
- DOI
- 10.31857/S2686954324040039
- Publication type
- Article
- Status
- Published
- Authors
- Volume/ Edition
- Volume 518 / Issue number 1
- Pages
- 18-21
- Abstract
- We obtain a Dini type blow-up condition for solutions of the differential inequality where are integers and and are some functions.
- Keywords
- дифференциальные неравенства высокого порядка нелинейность разрушение решений
- Date of publication
- 15.06.2024
- Year of publication
- 2024
- Number of purchasers
- 0
- Views
- 40
References
- 1. Galaktionov V.A., Mitidieri E.L., Pohozaev S.I. Blow-up for higher-order parabolic, hyperbolic, dispersion and Schroedinger equations. Monographs and Research Notes in Mathematics. Boca Raton, FL: CRC Press, 2014.
- 2. Filippucci R. Nonexistence of positive entire weak solutions of elliptic inequalities // Nonlin. Anal. 2009. V. 70. P. 2903–2916.
- 3. Filippucci R., Pucci P., Rigoli M. Non-existence of entire solutions of degenerate elliptic inequalities with weights // Arch. Ration. Mech. Anal. 2008. V. 188. P. 155–179. Erratum: 2008. V. 188. P. 181.
- 4. Ghergu M., Radulescu V. Existence and nonexistence of entire solutions to the logistic differential equation, // Abstr. and Appl. Anal. 2003. V. 17. P. 995–1003.
- 5. Keller J.B. On solution of Δu = f (u)// Comm. Pure. Appl. Math. 1957. V. 10. P. 503–510.
- 6. Kondratiev V.A., Veron L. Asymptotic behavior of solutions of some nonlinear parabolic or elliptic equations // Asymp. Anal. 1997. V. 14. P. 117–156.
- 7. Kon’kov A.A. On properties of solutions of quasilinear second-order elliptic inequalities // Nonlin. Anal. 2015. V. 123–124. P. 89–114.
- 8. Kon’kov A.A., Shishkov A.E. Generalization of the Keller–Osserman theorem for higher order differential inequalities // Nonlinearity 2019. V. 32. P. 3012–3022.
- 9. Kon’kov A.A., Shishkov A.E. On blow-up conditions for solutions of higher order differential inequalities // Appl. Anal. 2019. V. 98:9. P. 1581–1590.
- 10. Marcus M., Shishkov A.E. Fading absorption in non-linear elliptic equations // Ann. Inst. H. Poincaré Anal. Non Lineaire 2013. V. 30. P. 315–336.
- 11. Naito Y., Usami H. Entire solutions of the inequality div(A(| Du |)Du) = f (u)// Math. Z. 1997. V. 225. P. 167–175.
- 12. Naito Y., Usami H. Nonexistence results of positive entire solutions for quasilinear elliptic inequalities // Canad. Math. Bull. 1997. V. 40. P. 244–253.
- 13. Митидиери Э., Похожаев С.И. Априорные оценки и отсутствие решений нелинейных уравнений и неравенств в частных производных. // Тр. МИАН. 2001. Т. 234. С. 3–383.
- 14. Osserman R. On the inequality Δu≥f(u)// Pacific J. Math. 1957. V. 7. P. 1641–1647.
- 15. Shishkov A.E., Veron L. Admissible initial growth for diffusion equations with weakly superlinear absorption // Commun. Contemp. Math. 2016. V. 18. 05, 1550089.
- 16. Veron L. Comportement asymptotique des solutions d'equations elliptiques semi-lineaires dans Rn// Ann. Math. Pure Appl. 1981. V. 127. P. 25–50.
