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Applicable Analysis
An International Journal
Volume 84, 2005 - Issue 6
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Original Articles

Nonlinear parabolic equations with singular coefficient and critical exponent

Gisele Ruiz Goldstein Department of Mathematics, University of Memphis, Memphis TN 38152, USACorrespondence[email protected]
,
Jerome A. Goldstein Department of Mathematics, University of Memphis, Memphis TN 38152, USA
&
Ismail Kombe Mathematics Department, Dawson-Loeffler Science & Mathematics Bldg, Oklahoma City University, 2501 N. Blackwelder, Oklahoma City, OK 73106-1493, USA
Pages 571-583 | Received 02 Mar 2004, Published online: 04 Sep 2006

Citations (16)

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Read on this site (2)

S. Ahmetolan. (2008) Nonlinear degenerate parabolic equations with singular coefficients for Greiner vector fields. Applicable Analysis 87:7, pages 741-754.
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Ismail Kombe. (2006) On the nonexistence of positive solutions to nonlinear degenerate parabolic equations with singular coefficients. Applicable Analysis 85:5, pages 467-478.
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Articles from other publishers (14)

Razvan Gabriel Iagar, Ana Isabel Muñoz & Ariel Sánchez. (2023) Self-similar solutions preventing finite time blow-up for reaction-diffusion equations with singular potential. Journal of Differential Equations 358, pages 188-217.
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Razvan Gabriel Iagar & Ariel Sánchez. (2023) Radial equivalence and applications to the qualitative theory for a class of nonhomogeneous reaction‐diffusion equations. Mathematical Methods in the Applied Sciences.
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Razvan Gabriel Iagar & Ariel Sánchez. (2023) A special self-similar solution and existence of global solutions for a reaction-diffusion equation with Hardy potential. Journal of Mathematical Analysis and Applications 517:1, pages 126588.
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Gisèle Ruiz Goldstein, Jerome A. Goldstein, Ismail Kömbe & Reyhan Tellioğlu. (2022) Nonexistence of positive solutions for nonlinear parabolic Robin problems and Hardy–Leray inequalities. Annali di Matematica Pura ed Applicata (1923 -) 201:6, pages 2927-2942.
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Ismail Kömbe & Reyhan Tellioğlu Balekoğlu. (2022) Doubly nonlinear parabolic equations with Robin boundary conditions. Mathematical Methods in the Applied Sciences 45:16, pages 9386-9395.
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Gisèle Ruiz Goldstein, Jerome A. Goldstein, Ismail Kömbe & Sümeyye Bakim. (2021) Nonexistence results for parabolic equations involving the $${\varvec{p}}$$-Laplacian and Hardy–Leray-type inequalities on Riemannian manifolds. Journal of Evolution Equations 21:3, pages 3675-3701.
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Razvan Gabriel Iagar & Ariel Sánchez. (2020) Instantaneous and finite time blow-up of solutions to a reaction-diffusion equation with Hardy-type singular potential. Journal of Mathematical Analysis and Applications 491:1, pages 124244.
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Jun Qiang Han & Qian Qiao Guo. (2014) Nonlinear degenerate parabolic equations with time-dependent singular potentials for Baouendi-Grushin vector fields. Acta Mathematica Sinica, English Series 31:1, pages 123-139.
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Ismail Kombe. (2013) On the nonexistence of positive solutions to doubly nonlinear equations for Baouendi-Grushin operators. Discrete and Continuous Dynamical Systems 33:11/12, pages 5167-5176.
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S. Ahmetolan & S. Cavdar. (2011) Nonlinear degenerate parabolic equations with time dependent singular coefficients. Mathematische Nachrichten 284:10, pages 1219-1233.
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V. Galaktionov & I. Kamotski. (2010) On nonexistence of Baras–Goldstein type for higher-order parabolic equations with singular potentials. Transactions of the American Mathematical Society 362:8, pages 4117-4136.
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Jerome A. Goldstein & Ismail Kombe. (2008) The Hardy inequality and nonlinear parabolic equations on Carnot groups. Nonlinear Analysis: Theory, Methods & Applications 69:12, pages 4643-4653.
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V. A. Galaktionov. (2008) On nonexistence of Baras-Goldstein type without positivity assumptions for singular linear and nonlinear parabolic equations. Proceedings of the Steklov Institute of Mathematics 260:1, pages 123-143.
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David G. Costa. (2008) Some new and short proofs for a class of Caffarelli–Kohn–Nirenberg type inequalities. Journal of Mathematical Analysis and Applications 337:1, pages 311-317.
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