Lyapunov inequality for elliptic equations involving limiting nonlinearities
Timoshin, Sergey A.
Proc. Japan Acad. Ser. A Math. Sci., Tome 86 (2010) no. 1, p. 139-142 / Harvested from Project Euclid
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This note deals with a generalization of the famous Lyapunov inequality giving a necessary condition for the existence of solutions to a boundary value problem for an ordinary differential equation. The problem we consider is closely related to a well-known problem on an asymptotic behavior of positive solutions of a class of semilinear elliptic equations of nearly critical Sobolev growth.
Publié le : 2010-08-15
Classification:  Elliptic equations,  critical exponents,  Lyapunov inequality,  35J25,  35B33 
@article{1286198323,
     author = {Timoshin, Sergey A.},
     title = {Lyapunov inequality for elliptic equations involving limiting nonlinearities},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {86},
     number = {1},
     year = {2010},
     pages = { 139-142},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1286198323}
}

Timoshin, Sergey A. Lyapunov inequality for elliptic equations involving limiting nonlinearities. Proc. Japan Acad. Ser. A Math. Sci., Tome 86 (2010) no. 1, pp.  139-142. http://gdmltest.u-ga.fr/item/1286198323/