Year: 2025
Type: article
Abstract: This paper is concerned with the study of the following double phase equation with logarithmic nonlinearity $$\begin{aligned}&-\operatorname {div}\left( |\nabla u|^{p-2}\nabla u+\mu (x) |\nabla u|^{q-2}\nabla u\right) + |u|^{p-2}u+\mu (x) |u|^{q-2}u \\&=K_{1}(x)|u|^{p^*-2}u+\lambda K_{2}(x)|u|^{r-2}u\log (|u|)\quad \text {in } \mathbb {R}^N, \end{aligned}$$ - div | ∇ u | p - 2 ∇ u + μ ( x ) | ∇ u | q - 2 ∇ u + | u | p - 2 u + μ ( x ) | u | q - 2 u = K 1 ( x ) | u | p ∗ - 2 u + λ K 2 ( x ) | u | r - 2 u log ( | u | ) in R N , with dimension $$N\ge 2$$ N ≥ 2
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,190
OpenAlex ID: W4416624506