Nonexistence of positive solutions of Neumann problems for elliptic inequalities of the mean curvature type
Hiroyuki Usami
Source: Hiroshima Math. J. Volume 27, Number 2
(1997), 271-293.
First Page:
Show
Hide
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.hmj/1206127047
Mathematical Reviews number (MathSciNet): MR1461175
Zentralblatt MATH identifier: 0957.35055
References
[1] S. Y. Cheng and S. T. Yau, Differential equations on Riemannian manifolds and their geometric applications, Comm. Pure Appl. Math., 28 (1975), 333-354.
Zentralblatt MATH: 0312.53031
Mathematical Reviews (MathSciNet): MR385749
[2] R. Finn, Equilibrium Capillary Surfaces, Springer-Verlag, Berlin,1986.
Zentralblatt MATH: 0583.35002
Mathematical Reviews (MathSciNet): MR816345
[3] N. Fukagai, M. Ito,and K. Narukawa, Bifurcation of radially symmetric solutions of degenerate quasilinear elliptic equations, Differential and Integral Equations, 8 (1995), 1709-1732.
Zentralblatt MATH: 0831.34022
Mathematical Reviews (MathSciNet): MR1347976
[4] D. Gilbarg and N. S. Trudinger, Elliptic Partial Differential Equations of Second Order, 2nd ed, Springer-Verlag, Berlin, 1983.
Zentralblatt MATH: 0562.35001
Mathematical Reviews (MathSciNet): MR737190
[5] N. Ishimura, Nonlinear eigenvalue problem associated with the generalized capillarity equation, J. Fac. Sci.Univ. Tokyo, 37A (1990), 457-466.
Zentralblatt MATH: 0723.49033
Mathematical Reviews (MathSciNet): MR1071430
[6] T. Kusano and C. A. Swanson, Radial entire solutions of a class of quasilinear elliptic equations, J. Differential Equations, 83 (1990), 379-399.
Zentralblatt MATH: 0703.35060
Mathematical Reviews (MathSciNet): MR1033194
[7] Y. Naito and h. Usami, Entire solutions of the inequality div((\Du\)Du) > f(u), Math. Z., to appear.
Zentralblatt MATH: 0869.35117
Mathematical Reviews (MathSciNet): MR1451340
[8] Y. Naito and H. Usami, Nonexistence results of positive entire solutions for quasilinear elliptic inequalities, Canad. Math. Bull., to appear.
Zentralblatt MATH: 0879.35062
Mathematical Reviews (MathSciNet): MR1451279
[9] K. Narukawa and T. Suzuki, Nonlinear eigenvalue problem for a modified capillary surface equation, Funkcial. Ekvac, 37 (1994), 81-100.
Zentralblatt MATH: 0807.35044
Mathematical Reviews (MathSciNet): MR1285483
[10] H. Usami, Nonexistence results of entire solutions for superlinear elliptic inequalities, J. Math. Anal. Appl., 164 (1992), 59-82.
Zentralblatt MATH: 0761.35025
Mathematical Reviews (MathSciNet): MR1146576
[11] H. Usami, Nonexistence of positive entire solutions for elliptic inequalities of the mean curvature type, J. Differential Equations, 111 (1994), 472-480.
Zentralblatt MATH: 0808.35009
Mathematical Reviews (MathSciNet): MR1284423
Hiroshima Mathematical Journal