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Bih, Isselkou Ould Ahmed Izid

The Lane-Emden function and nonlinear eigenvalues problems. (English) Zbl 1180.35401

Ann. Fac. Sci. Toulouse, Math. (6) 18, No. 4, 635-650 (2009).
Summary: We consider a semilinear elliptic eigenvalues problem on a ball of \(\mathbb R^n\) and show that all the eigenfunctions and eigenvalues can be obtained from the Lane-Emden function.

Cited in 2 Documents

MSC:

35P30 Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs
35J61 Semilinear elliptic equations
35J25 Boundary value problems for second-order elliptic equations
35J20 Variational methods for second-order elliptic equations
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\textit{I. O. A. I. Bih}, Ann. Fac. Sci. Toulouse, Math. (6) 18, No. 4, 635--650 (2009; Zbl 1180.35401)
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