We consider the classical Brezis-Nirenberg problem in the unit ball of R^N , N ≥ 3 and analyze the asymptotic behavior of nodal radial solutions in the low dimensions N = 3, 4, 5, 6 as the parameter converges to some limit value which naturally arises from the study of the associated ordinary differential equation.
Asymptotic analysis for radial sign-changing solutions of the Brezis-Nirenberg problem in low dimensions / A. Iacopetti, P. Filomena (PROGRESS IN NONLINEAR DIFFERENTIAL EQUATIONS AND THEIR APPLICATIONS). - In: Contributions to Nonlinear Elliptic Equations and Systems : A Tribute to Djairo Guedes de Figueiredo on the Occasion of his 80th Birthday / [a cura di] A.N. de CarvalhoBernhard Ruf, E.M. dos Santos, J.-P. Gossez, S.H. Monari Soares, T. Cazenave. - [s.l] : Springer-Birkhäuser, 2017. - ISBN 9783319199016. - pp. 325-343 [10.1007/978-3-319-19902-3_20]
Asymptotic analysis for radial sign-changing solutions of the Brezis-Nirenberg problem in low dimensions
A. Iacopetti;
2017
Abstract
We consider the classical Brezis-Nirenberg problem in the unit ball of R^N , N ≥ 3 and analyze the asymptotic behavior of nodal radial solutions in the low dimensions N = 3, 4, 5, 6 as the parameter converges to some limit value which naturally arises from the study of the associated ordinary differential equation.
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