Stationary solutions, blow up and convergence to stationary solutions for semilinear parabolic equations with nonlinear boundary conditions M Chipot, M Fila, P Quittner Acta Mathematica Universitatis Comenianae. New Series 60 (1), 35-103, 1991 | 181 | 1991 |
The blow‐up rate for the heat equation with a non‐linear boundary condition M Fila, P Quittner Mathematical Methods in the Applied Sciences 14 (3), 197-205, 1991 | 128 | 1991 |
On the solutions to some elliptic equations with nonlinear Neumann boundary conditions M Chipot, M Fila, I Shafrir | 120 | 1996 |
On critical exponents for a system of heat equations coupled in the boundary conditions K Deng, M Fila, HA Levine Acta Math. Univ. Comenianae 63 (2), 169-192, 1994 | 116 | 1994 |
From critical exponents to blow-up rates for parabolic problems M Chlebik Rend. Mat. Appl. 19, 449-470, 1999 | 102 | 1999 |
Existence of positive solutions of a semilinear elliptic equation in Rn+ with a nonlinear boundary condition M Chipot, M Chlebık, M Fila, I Shafrir Journal of mathematical analysis and applications 223 (2), 429-471, 1998 | 101 | 1998 |
Quenching on the boundary M Fila, HA Levine Nonlinear Analysis: Theory, Methods & Applications 21 (10), 795-802, 1993 | 96 | 1993 |
Linear and nonlinear heat equations in spaces and universal bounds for global solutions M Fila, P Souplet, FB Weissler Mathematische Annalen 320 (1), 87-113, 2001 | 95 | 2001 |
Boundedness of global solutions of nonlinear diffusion equations M Fila Journal of differential equations 98 (2), 226-240, 1992 | 89 | 1992 |
Remarks on blow up for a nonlinear parabolic equation with a gradient term M Fila Proceedings of the American Mathematical Society 111 (3), 795-801, 1991 | 84 | 1991 |
The blow-up rate for a semilinear parabolic system M Fila, P Quittner Journal of mathematical analysis and applications 238 (2), 468-476, 1999 | 81 | 1999 |
Derivative blow-up and beyond for quasilinear parabolic equations M Fila, GM Lieberman | 80 | 1994 |
A Fujita-type theorem for the Laplace equation with a dynamical boundary condition H Amann, M Fila Acta Math. Univ. Comenianae 66 (2), 321-328, 1997 | 78 | 1997 |
The blow-up rate for semilinear parabolic problems on general domains M Fila, P Souplet Nonlinear Differential Equations and Applications NoDEA 8, 473-480, 2001 | 73 | 2001 |
Boundedness of global solutions for the heat equation with nonlinear boundary conditions M Fila Commentationes Mathematicae Universitatis Carolinae 30 (3), 479-484, 1989 | 70 | 1989 |
Existence of global solutions with slow decay and unbounded free boundary for a superlinear Stefan problem M Fila, P Souplet Interfaces and Free Boundaries 3 (3), 337-344, 2001 | 63 | 2001 |
Interior gradient blow-up in a semilinear parabolic equation SB Angenent, M Fila | 61 | 1996 |
Blow-up on the boundary: a survey M Fila, J Filo Banach Center Publications 33 (1), 67-78, 1996 | 59 | 1996 |
A note on the quenching rate M Fila, J Hulshof Proceedings of the American Mathematical Society 112 (2), 473-477, 1991 | 58 | 1991 |
Quenching for quasilinear equations M Fila, B Kawohl, HA Levine Communications in partial differential equations 17 (3-4), 593-614, 1992 | 57 | 1992 |