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Blowup for semilinear parabolic equations with critical Sobolev exponent
1.  Department of Mathematics, Henan Normal University, Xinxiang 453007, China 
References:
[1] 
Th. Cazenave, F. Dickstein and F. Weissler, Signchanging stationary solutions and blowup for the nonlinear heat equation in a ball, Math. Ann., 344 (2009), 431449. Google Scholar 
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F. Dickstein, N. Mizoguchi, P. Souplet and F. Weissler, Transversality of stable and Nehari manifolds for semilinear heat equation, Calculus of Variations and Partial Differential Equations, 42 (2011), 547562. Google Scholar 
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V. A. Galaktionov and J. L. Vazquez, A stability technique for evolution partial differential equations, a dynamical systems approach,, 2004. Buch. XIX, (): 978. Google Scholar 
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Li Ma, Chong Li and Lin Zhao, Monotone solutions to a class of elliptic and diffusion equations, Communications on Pure and Applied Analysis, 6 (2007), 237246. Google Scholar 
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Li Ma, Boundary value problem for a classical semilinear parabolic equation, to appear in Chinese Ann. Math., 2012. Google Scholar 
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P. Quittner and P. Souplet, "Superlinear Parabolic Problems: Blowup, Global Existence and Steady States," Birkhauser. Advanced text, 2007. Google Scholar 
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M. Struwe, "Variational Methods," third ed., Springer, 2000. Google Scholar 
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T. Suzuki, Semilinear parabolic equation on bounded domain with critical Sobolev exponent, Indiana Univ. Math. Journal, 57 (2008), 33653396. Google Scholar 
show all references
References:
[1] 
Th. Cazenave, F. Dickstein and F. Weissler, Signchanging stationary solutions and blowup for the nonlinear heat equation in a ball, Math. Ann., 344 (2009), 431449. Google Scholar 
[2] 
F. Dickstein, N. Mizoguchi, P. Souplet and F. Weissler, Transversality of stable and Nehari manifolds for semilinear heat equation, Calculus of Variations and Partial Differential Equations, 42 (2011), 547562. Google Scholar 
[3] 
V. A. Galaktionov and J. L. Vazquez, A stability technique for evolution partial differential equations, a dynamical systems approach,, 2004. Buch. XIX, (): 978. Google Scholar 
[4] 
Li Ma, Chong Li and Lin Zhao, Monotone solutions to a class of elliptic and diffusion equations, Communications on Pure and Applied Analysis, 6 (2007), 237246. Google Scholar 
[5] 
Li Ma, Boundary value problem for a classical semilinear parabolic equation, to appear in Chinese Ann. Math., 2012. Google Scholar 
[6] 
P. Quittner and P. Souplet, "Superlinear Parabolic Problems: Blowup, Global Existence and Steady States," Birkhauser. Advanced text, 2007. Google Scholar 
[7] 
M. Struwe, "Variational Methods," third ed., Springer, 2000. Google Scholar 
[8] 
T. Suzuki, Semilinear parabolic equation on bounded domain with critical Sobolev exponent, Indiana Univ. Math. Journal, 57 (2008), 33653396. Google Scholar 
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