Normalized Ground State Solutions to HLS Upper Critical Choquard Equation With Mass Critical or Supercritical and Sobolev Critical Growth
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DOI: 10.1002/mma.11177
Abstract: This paper is concerned with the following HLS upper critical Choquard equation with mass critical or supercritical and Sobolev critical growth −Δu=λu+μ|u|p−2u+|u|4u+(I2∗|u|5)|u|3uinℝ3,∫ℝ3u2dx=c,$$ \left\{\begin{array}{l}-\Delta u=\lambda u+\mu {\left|u\right|}^{p-2}u+{\left|u\right|}^4u+\left({I}_2\ast {\left|u\right|}^5\right){\left|u\right|}^3u\kern0.60em \mathrm{in}\kern0.3em {\mathbb{R}}^3,\\ {}{\int}_{{\mathbb{R}}^3}{u}^2 dx=c\end{array}\right., $$ where μ,c>0,103≤p0,\kern0.3em \frac{10}{3}\le… read more here.
Keywords: critical choquard; equation mass; hls upper; upper critical ... See more keywords
Time-Fractional Diffusion-Wave Equation with Mass Absorption in a Sphere under Harmonic Impact
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DOI: 10.3390/math7050433
Abstract: The time-fractional diffusion equation with mass absorption in a sphere is considered under harmonic impact on the surface of a sphere. The Caputo time-fractional derivative is used. The Laplace transform with respect to time and… read more here.
Keywords: fractional diffusion; time; absorption sphere; mass absorption ... See more keywords