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2 results on '"35A15, 35B99, 35J60, 47G20"'

1. On degenerate fractional Schr\'{o}dinger-Kirchhoff-Poisson equations with upper critical nonlinearity and electromagnetic fields

Author

Zhang, Zhongyi and Repovš, Dušan D.

Subjects
Mathematics - Analysis of PDEs, 35A15, 35B99, 35J60, 47G20
Abstract

We investigate the degenerate fractional Schr\"{o}dinger-Kirchhoff-Poisson equation in $\mathbb{R}^3$ with critical nonlinearity and electromagnetic fields $\varepsilon^{2s} M([u]_{s,A}^2)(-\Delta)_{A}^su + V(x)u + \phi u = k(x)|u|^{r-2}u + \left(\mathcal{I}_\mu*|u|^{2_s^\sharp}\right)|u|^{2_s^\sharp-2}u$ and $(-\Delta)^t\phi = u^2,$ where $\varepsilon > 0$ is a parameter, $3/4

Published
2023
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2. On degenerate fractional Schrödinger–Kirchhoff–Poisson equations with upper critical nonlinearity and electromagnetic fields

Author

Zhongyi Zhang and Dušan D. Repovš

Subjects
Computational Mathematics, Numerical Analysis, Mathematics - Analysis of PDEs, Applied Mathematics, 35A15, 35B99, 35J60, 47G20, Analysis
Abstract

We investigate the degenerate fractional Schr\"{o}dinger-Kirchhoff-Poisson equation in $\mathbb{R}^3$ with critical nonlinearity and electromagnetic fields $\varepsilon^{2s} M([u]_{s,A}^2)(-\Delta)_{A}^su + V(x)u + \phi u = k(x)|u|^{r-2}u + \left(\mathcal{I}_\mu*|u|^{2_s^\sharp}\right)|u|^{2_s^\sharp-2}u$ and $(-\Delta)^t\phi = u^2,$ where $\varepsilon > 0$ is a parameter, $3/4

Published
2022

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