On existence and asymptotic behavior of solutions of elliptic equations with nearly critical exponent and singular coefficients

On existence and asymptotic behavior of solutions of elliptic equations with nearly critical exponent and singular coefficients

In this paper we study the existence and asymptotic behavior of solutions of $$-\Delta u=\mu\frac{u}{|x|^{2}}+|x|^{\alpha}u^{p(\alpha)-1-\varepsilon},\qquad u>0 \ \text{in}\ B_{R}(0)$$ with Dirichlet boundary condition. Here, $-2

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Veröffentlicht in:Electronic journal of qualitative theory of differential equations 2021-01, Vol.2021 (64), p.1-25
Hauptverfasser: Li, Shiyu, Wei, Gongming, Duan, Xueliang
Format: Artikel
Sprache:eng
Schlagworte:
asymptotic behavior
critical sobolev exponent
hardy exponents
singular coefficient
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Zusammenfassung:In this paper we study the existence and asymptotic behavior of solutions of $$-\Delta u=\mu\frac{u}{|x|^{2}}+|x|^{\alpha}u^{p(\alpha)-1-\varepsilon},\qquad u>0 \ \text{in}\ B_{R}(0)$$ with Dirichlet boundary condition. Here, $-2
ISSN:1417-3875
1417-3875
DOI:10.14232/ejqtde.2021.1.64