Geodesic
A priori bounds for positive radial solutions of quasilinear equations of Lane–Emden type
Archivum mathematicum, Tome 59 (2023) no. 2, pp. 155-162 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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We consider the quasilinear equation $\Delta _p u +K(|x|)u^q=0$, and present the proof of the local existence of positive radial solutions near $0$ under suitable conditions on $K$. Moreover, we provide a priori estimates of positive radial solutions near $\infty $ when $r^{-\ell }K(r)$ for $\ell \ge -p$ is bounded near $\infty $.
We consider the quasilinear equation $\Delta _p u +K(|x|)u^q=0$, and present the proof of the local existence of positive radial solutions near $0$ under suitable conditions on $K$. Moreover, we provide a priori estimates of positive radial solutions near $\infty $ when $r^{-\ell }K(r)$ for $\ell \ge -p$ is bounded near $\infty $.
DOI : 10.5817/AM2023-2-155
Classification : 35B45, 35J92
Keywords: quasilinear equation; positive solution; a priori bound 
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Bae, Soohyun. A priori bounds for positive radial solutions of quasilinear equations of Lane–Emden type. Archivum mathematicum, Tome 59 (2023) no. 2, pp. 155-162. doi: 10.5817/AM2023-2-155

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