Existence and multiplicity of solutions for $p$-Laplacian fractional system with logarithmic nonlinearity
\begin{equation*} \begin{cases} ( - \Delta )_{p}^{s} u +|u|^{ p-2} u= \lambda h_1(x) |u|^{ \theta-2}u\ln |u| + \dfrac{q}{q+r}b_1(x)|v|^{r}|u|^{q-2}u & \mbox{in} \ \Omega,\\ ( - \Delta )_{p}^{t} v + |v|^{ p-2} v= \mu h_2(x) |v|^{\theta-2}v\ln |v| + \dfrac{r }{q+r}b_2(x)|u|^{r}|v|^{q-2}v &...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2025-01-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=11131 |