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Displaying similar documents to “Positive solutions of some coercive-anticoercive elliptic systems”

The Lane-Emden Function and Nonlinear Eigenvalues Problems

Ould Ahmed Izid Bih Isselkou (2009)

Annales de la faculté des sciences de Toulouse Mathématiques

Similarity:

We consider a semilinear elliptic eigenvalues problem on a ball of ℜ n and show that all the eigenfunctions and eigenvalues, can be obtained from the Lane-Emden function.

Fully nonlinear second order elliptic equations with large zeroth order coefficient

L. C. Evans, Pierre-Louis Lions (1981)

Annales de l'institut Fourier

Similarity:

We prove the existence of classical solutions to certain fully non-linear second order elliptic equations with large zeroth order coefficient. The principal tool is an estimate asserting that the C 2 , α -norm of the solution cannot lie in a certain interval of the positive real axis.