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Estimates for solutions of nonautonomous semilinear ill-posed problems
Blow-up for nonlinear inequalities with gradient terms and singularities on unbounded sets
| 1. | Peoples' Friendship University of Russia, Miklukho-Maklaya str. 6, Moscow, 117198, Russian Federation |
| 2. | Moscow State Technological University , Vadkovsky lane 3a, Moscow, 127055, Russian Federation |
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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. |
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P. Clement, R. Manasevich and E. Mitidieri, Positive solutions for a quasilinear system via blow-up, Comm. PDE, 18 (1993), 2071-2106. |
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A. Farina and J. Serrin, Entire solutions of completely coercive quasilinear elliptic equations, J. Diff. Eq., 250 (2011), 4367-4408. |
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A. Farina and J. Serrin, Entire solutions of completely coercive quasilinear elliptic equations II, J. Diff. Eq., 250 (2011), 4409-4436. |
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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. |
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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), |
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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. |
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S. Pohozaev, Essentially nonlinear capacities generated by differential operators. Doklady RAN, 357 (1997), 592-594. |
show all references
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. |
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