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- W3152000787 abstract "In this article, we deal with the existence of non-negative solutions of the class of following non local problem $$ left { textstylebegin{array}{l} quad - Mleft (displaystyle int _{mathbb{R}^{n}}int _{mathbb{R}^{n}} frac{|u(x)-u(y)|^{frac{n}{s}}}{|x-y|^{2n}}~dxdyright ) (-Delta )^{s}_{n/s} u=left (displaystyle int _{Omega }frac{G(y,u)}{|x-y|^{mu }}~dy right )g(x,u) ; text{in}; Omega , quad quad u =0quad text{in} quad mathbb{R}^{n} setminus Omega , end{array}displaystyle right . $$ where $(-Delta )^{s}_{n/s}$ is the $n/s$ -fractional Laplace operator, $ngeq 1$ , $sin (0,1)$ such that $n/sgeq 2$ , $Omega subset mathbb{R}^{n}$ is a bounded domain with Lipschitz boundary, $M:mathbb{R}^{+}rightarrow mathbb{R}^{+}$ and $g:Omega times mathbb{R}rightarrow mathbb{R}$ are continuous functions, where $g$ behaves like $exp ({|u|^{frac{n}{n-s}}})$ as $|u|rightarrow infty $ . The key feature of this article is the presence of Kirchhoff model along with convolution type nonlinearity having exponential growth which appears in several physical and biological models." @default.
- W3152000787 created "2021-04-13" @default.
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- W3152000787 date "2021-04-01" @default.
- W3152000787 modified "2023-10-17" @default.
- W3152000787 title "Kirchhoff Equations with Choquard Exponential Type Nonlinearity Involving the Fractional Laplacian" @default.
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- W3152000787 doi "https://doi.org/10.1007/s10440-021-00402-9" @default.
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