Blow-up for nonlinear inequalities with gradient terms and singularities on unbounded sets

Evgeny  Galakhov; Olga  Salieva

doi:10.3934/proc.2015.0489

Article Contents

2015, Volume 2015: 489-494. Doi: 10.3934/proc.2015.0489 open access

This issue Previous Article Estimates for solutions of nonautonomous semilinear ill-posed problems Next Article 3D reconstruction for partial data electrical impedance tomography using a sparsity prior

Blow-up for nonlinear inequalities with gradient terms and singularities on unbounded sets

Evgeny Galakhov^1, and
Olga Salieva^2,

1.
Peoples' Friendship University of Russia, Miklukho-Maklaya str. 6, Moscow, 117198
2.
Moscow State Technological University , Vadkovsky lane 3a, Moscow, 127055

Received: September 2014

Revised: September 2015

Published: October 2015

Abstract Related Papers Cited by

Abstract

Nonexistence results for nontrivial solutions for some classes of nonlinear partial differential inequalities with gradient terms and coefficients possessing singularities on unbounded sets are obtained.

Keywords:

Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.

Citation:

Related Papers

Cited by

References

[1]	C. Azizieh, P. Clement and E. Mitidieri, Existence and apriori estimates for positive solutions of p-Laplace systems, J. Diff. Eq., 204 (2002), 422-442.
[2]	P. Clement, R. Manasevich and E. Mitidieri, Positive solutions for a quasilinear system via blow-up, Comm. PDE, 18 (1993), 2071-2106.
[3]	A. Farina and J. Serrin, Entire solutions of completely coercive quasilinear elliptic equations, J. Diff. Eq., 250 (2011), 4367-4408.
[4]	A. Farina and J. Serrin, Entire solutions of completely coercive quasilinear elliptic equations II, J. Diff. Eq., 250 (2011), 4409-4436.
[5]	E. Galakhov and O. Salieva, On blow-up of solutions to differential inequalities with singularities on unbounded sets, J. Math. Anal. Appl., 408 (2013), 102-113.
[6]	E. Galakhov and O. Salieva, Blow-up for nonlinear inequalities with singularities on unbounded sets, in "Current Trends in Analysis and Its Applications'' (eds. V. Mityushev and M. Ruzhansky),
[7]	E. Mitidieri and S. Pohozaev, A priori estimates and nonexistence of solutions of nonlinear partial differential equations and inequalities, Proceedings of the Steklov Institute, 234 (2001), 1-383.
[8]	S. Pohozaev, Essentially nonlinear capacities generated by differential operators. Doklady RAN, 357 (1997), 592-594.