Ground states for fractional nonlocal equations with logarithmic nonlinearity
In this paper, we study on the fractional nonlocal equation with the logarithmic nonlinearity formed by \[\begin{cases}\mathcal{L}_{K}u(x)+u\log|u|+|u|^{q-2}u=0, & x\in\Omega,\\ u=0, & x\in\mathbb{R}^{n}\setminus\Omega,\end{cases}\] where \(2\lt q\lt 2^{*}_s\), \(L_{K}\) is a non-loc...
| Hlavní autoři: | , , |
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| Médium: | Článek |
| Jazyk: | English |
| Vydáno: |
AGH Univeristy of Science and Technology Press
2022-02-01
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| Edice: | Opuscula Mathematica |
| Témata: | |
| On-line přístup: | https://www.opuscula.agh.edu.pl/vol42/2/art/opuscula_math_4208.pdf |