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- W2889740860 abstract "In this note, we consider the following problem $$displaystyle begin {cases} -Delta u=(1+g(x))u^{frac {N+2}{N-2}}, u>0text{ in }B, u=0text{ on }partial B, end {cases} $$ where N ≥ 3 and (Bsubset mathbb {R}^N) is the unit ball centered at the origin and g(x) is a radial Hölder continuous function such that g(0) = 0. We prove the existence and nonexistence of radial solutions by the variational method with the concentration compactness analysis and the Pohozaev identity.KeywordsElliptic equationVariational methodCritical problem" @default.
- W2889740860 created "2018-09-27" @default.
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- W2889740860 date "2021-01-01" @default.
- W2889740860 modified "2023-09-23" @default.
- W2889740860 title "A Note on Radial Solutions to the Critical Lane-Emden Equation with a Variable Coefficient" @default.
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- W2889740860 doi "https://doi.org/10.1007/978-3-030-73363-6_13" @default.
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