Asymptotic analysis for radial sign-changing solutions of the Brezis-Nirenberg problem in low dimensions

Alessandro Iacopetti,Filomena Pacella

doi:10.1007/978-3-319-19902-3_20

Asymptotic analysis for radial sign-changing solutions of the Brezis-Nirenberg problem in low dimensions

Alessandro Iacopetti, Filomena Pacella

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https://doi.org/10.1007/978-3-319-19902-3_20

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Publication Date: Jan 1, 2015

Citations: 14

Affiliation: Roma Tre University, Sapienza University of Rome

#Problem In Low Dimensions #Brezis-Nirenberg Problem + Show 8 more

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Abstract

AbstractWe consider the classical Brezis-Nirenberg problem in the unit ball of \(\mathbb{R}^{N}\), 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.KeywordsSemilinear elliptic equationsCritical exponentSign-changing solutionsAsymptotic behavior

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