Payne, L. E.; Philippin, G. A. Blow-up phenomena in parabolic problems with time dependent coefficients under Dirichlet boundary conditions. (English) Zbl 1277.35075 Proc. Am. Math. Soc. 141, No. 7, 2309-2318 (2013). Reviewer: Marek Fila (Bratislava) MSC: 35B44 35B30 35K20 35K58 PDFBibTeX XMLCite \textit{L. E. Payne} and \textit{G. A. Philippin}, Proc. Am. Math. Soc. 141, No. 7, 2309--2318 (2013; Zbl 1277.35075) Full Text: DOI
Payne, L. E.; Philippin, G. A. Blow-up in a class of non-linear parabolic problems with time-dependent coefficients under Robin type boundary conditions. (English) Zbl 1255.35059 Appl. Anal. 91, No. 12, 2245-2256 (2012). MSC: 35B44 35K55 35K20 35B30 35B40 PDFBibTeX XMLCite \textit{L. E. Payne} and \textit{G. A. Philippin}, Appl. Anal. 91, No. 12, 2245--2256 (2012; Zbl 1255.35059) Full Text: DOI
Payne, L. E.; Philippin, G. A.; Vernier Piro, S. Blow-up phenomena for a semilinear heat equation with nonlinear boundary condition. I. (English) Zbl 1227.35173 Z. Angew. Math. Phys. 61, No. 6, 999-1007 (2010). Reviewer: Svetlin Georgiev (Rousse) MSC: 35K61 35K57 35B44 PDFBibTeX XMLCite \textit{L. E. Payne} et al., Z. Angew. Math. Phys. 61, No. 6, 999--1007 (2010; Zbl 1227.35173) Full Text: DOI
Payne, L. E.; Philippin, G. A.; Piro, S. Vernier Blow-up phenomena for a semilinear heat equation with nonlinear boundary condition. II. (English) Zbl 1198.35131 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 4, 971-978 (2010). MSC: 35K61 35K58 35B44 PDFBibTeX XMLCite \textit{L. E. Payne} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 4, 971--978 (2010; Zbl 1198.35131) Full Text: DOI
Payne, L. E.; Philippin, G. A.; Schaefer, P. W. Blow-up phenomena for some nonlinear parabolic problems. (English) Zbl 1159.35382 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 10, 3495-3502 (2008). MSC: 35K60 35K55 35B40 PDFBibTeX XMLCite \textit{L. E. Payne} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 10, 3495--3502 (2008; Zbl 1159.35382) Full Text: DOI
Payne, L. E.; Schaefer, P. W. Blow-up in parabolic problems under Robin boundary conditions. (English) Zbl 1156.35408 Appl. Anal. 87, No. 6, 699-707 (2008). MSC: 35K60 35K20 35B05 PDFBibTeX XMLCite \textit{L. E. Payne} and \textit{P. W. Schaefer}, Appl. Anal. 87, No. 6, 699--707 (2008; Zbl 1156.35408) Full Text: DOI
Lin, Changhao; Payne, L. E. Continuous dependence on the Soret coefficient for double diffusive convection in Darcy flow. (English) Zbl 1139.35085 J. Math. Anal. Appl. 342, No. 1, 311-325 (2008). MSC: 35Q35 35B30 35B45 76D07 PDFBibTeX XMLCite \textit{C. Lin} and \textit{L. E. Payne}, J. Math. Anal. Appl. 342, No. 1, 311--325 (2008; Zbl 1139.35085) Full Text: DOI
Payne, L. E.; Philippin, G. A.; Schaefer, P. W. Bounds for blow-up time in nonlinear parabolic problems. (English) Zbl 1139.35055 J. Math. Anal. Appl. 338, No. 1, 438-447 (2008). Reviewer: Cristian Chifu (Cluj-Napoca) MSC: 35K55 35B40 35B05 PDFBibTeX XMLCite \textit{L. E. Payne} et al., J. Math. Anal. Appl. 338, No. 1, 438--447 (2008; Zbl 1139.35055) Full Text: DOI
Lin, Changhao; Payne, L. E. Structural stability for the Brinkman equations of flow in double diffusive convection. (English) Zbl 1167.35435 J. Math. Anal. Appl. 325, No. 2, 1479-1490 (2007). MSC: 35Q35 35B35 76E06 76R10 76S05 35J55 PDFBibTeX XMLCite \textit{C. Lin} and \textit{L. E. Payne}, J. Math. Anal. Appl. 325, No. 2, 1479--1490 (2007; Zbl 1167.35435) Full Text: DOI
Payne, L. E.; Song, J. C. Temporal decay bounds in generalized heat conduction. (English) Zbl 1058.35142 J. Math. Anal. Appl. 294, No. 1, 82-95 (2004). Reviewer: Salim Messaoudi (Dharan) MSC: 35L20 74H40 74H55 80A20 PDFBibTeX XMLCite \textit{L. E. Payne} and \textit{J. C. Song}, J. Math. Anal. Appl. 294, No. 1, 82--95 (2004; Zbl 1058.35142) Full Text: DOI
Payne, L. E.; Song, J. C. Spatial decay bounds for the Forchheimer equations. (English) Zbl 1211.76119 Int. J. Eng. Sci. 40, No. 9, 943-956 (2002). MSC: 76S05 PDFBibTeX XMLCite \textit{L. E. Payne} and \textit{J. C. Song}, Int. J. Eng. Sci. 40, No. 9, 943--956 (2002; Zbl 1211.76119) Full Text: DOI
Horgan, C. O.; Payne, L. E. Phragmén-Lindelöf type results for harmonic functions with nonlinear boundary conditions. (English) Zbl 0790.31002 Arch. Ration. Mech. Anal. 122, No. 2, 123-144 (1993). Reviewer: C.Bandle (Basel) MSC: 31B05 35J65 PDFBibTeX XMLCite \textit{C. O. Horgan} and \textit{L. E. Payne}, Arch. Ration. Mech. Anal. 122, No. 2, 123--144 (1993; Zbl 0790.31002) Full Text: DOI
Payne, L. E.; Philippin, G. A. Some overdetermined boundary value problems for harmonic functions. (English) Zbl 0767.35047 Z. Angew. Math. Phys. 42, No. 6, 864-873 (1991). MSC: 35N05 31A25 35P05 PDFBibTeX XMLCite \textit{L. E. Payne} and \textit{G. A. Philippin}, Z. Angew. Math. Phys. 42, No. 6, 864--873 (1991; Zbl 0767.35047) Full Text: DOI
Horgan, C. O.; Payne, L. E. Decay estimates for a class of second-order quasilinear equations in three dimensions. (English) Zbl 0567.35016 Arch. Ration. Mech. Anal. 86, 279-289 (1984). Reviewer: J.Rakosnik MSC: 35G30 35B40 35B05 PDFBibTeX XMLCite \textit{C. O. Horgan} and \textit{L. E. Payne}, Arch. Ration. Mech. Anal. 86, 279--289 (1984; Zbl 0567.35016) Full Text: DOI
Payne, L. E. Bounds for solutions of a class of quasilinear elliptic boundary value problems in terms of the torsion function. (English) Zbl 0481.35022 Proc. R. Soc. Edinb., Sect. A 88, 251-265 (1981). MSC: 35B50 35B05 35J65 74K20 PDFBibTeX XMLCite \textit{L. E. Payne}, Proc. R. Soc. Edinb., Sect. A, Math. 88, 251--265 (1981; Zbl 0481.35022) Full Text: DOI
Payne, L. E.; Sperb, Rene; Stakgold, Ivar On Hopf type maximum principles for convex domains. (English) Zbl 0367.35023 Nonlinear Anal., Theory, Methods Appl. 1, 547-559 (1977). MSC: 35J60 35B05 PDFBibTeX XMLCite \textit{L. E. Payne} et al., Nonlinear Anal., Theory Methods Appl. 1, 547--559 (1977; Zbl 0367.35023) Full Text: DOI
Hersch, J.; Payne, L. E.; Schiffer, M. M. Some inequalities for Stekloff eigenvalues. (English) Zbl 0315.35069 Arch. Ration. Mech. Anal. 57, 99-114 (1974). MSC: 35P15 35J25 49R50 PDFBibTeX XMLCite \textit{J. Hersch} et al., Arch. Ration. Mech. Anal. 57, 99--114 (1974; Zbl 0315.35069) Full Text: DOI