References
- Leray , J and Lions , JL . 1965 . Quelques résultats de Visik sur les problèmes elliptiques non linéaires par les méthodes de Minty–Browder . Bull. Soc. Math. France , 93 : 97 – 107 .
- Heinonen , J , Kilpeläinen , T and Martio , O . 1993 . Nonlinear Potential Theory of Degenerate Elliptic Equations , Oxford : Oxford University Press .
- Baras , P and Goldstein , JA . 1984 . The heat equation with a singular potential . Trans. Am. Math. Soc. , 284 : 121 – 139 .
- García Azorero , J and Peral Alonso , I . 1998 . Hardy inequality and some critical elliptic and parabolic problems . J. Differ. Eqns. , 144 : 441 – 476 .
- Goldstein , JA and Zhang , QS . 2003 . Linear parabolic equations with strong singular potentials . Trans. Am. Math. Soc. , 355 : 197 – 211 .
- Kombe , I . 2004 . Doubly Nonlinear Parabolic Equations with Singular Lower Order Term . Nonlinear Anal. TMA , 56 : 185 – 199 .
- Goldsteina , JA and Kombe , I . 2008 . The Hardy Inequality and Nonlinear Parabolic Equations on Carnot Groups . Nonlinear Anal. TMA , 69 : 4643 – 4653 .
- Payne , LE , Philippin , GA and Schaefer , PW . 2008 . Blow-up phenomena for some nonlinear parabolic problems . Nonlinear Anal. TMA , 69 : 3495 – 3502 .
- Payne , LE , Philippin , GA and Vernier Piro , S . 2010 . Blow-up phenomena for a semilinear heat equation with nonlinear boundary condition, II . Nonlinear Anal. TMA , 73 : 971 – 978 .
- Straughan , B . 1998 . Explosive Instabilities in Mechanics , Berlin : Springer .
- Bandle , C and Brunner , H . 1998 . Blow-up in diffusion equations: A survey . J. Comput. Appl. Math. , 97 : 3 – 22 .
- Galaktionov , VA and Vázquez , JL . 2002 . The problem of blow-up in nonlinear parabolic equations . Discrete Continuous Dyn. Syst. , 8 : 399 – 433 .
- Quittner , R and Souplet , P . 2007 . Superlinear Parabolic Problems, Blow-up, Global Existence and Steady States , Basel : Birkhäuser Advanced Texts .