Kirchhoff‐type critical fractional Laplacian system with convolution and magnetic field
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DOI: 10.1002/mana.202200172
Abstract: In this paper, we consider a class of upper critical Kirchhoff‐type fractional Laplacian system with Choquard nonlinearities and magnetic fields. With the help of the limit index theory and the concentration–compactness principles for fractional Sobolev… read more here.
Keywords: system; type critical; kirchhoff type; laplacian system ... See more keywords
Multiple Positive Solutions for a Fractional Laplacian System with Critical Nonlinearities
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DOI: 10.1007/s40840-016-0432-1
Abstract: In this paper, we study the following nonlinear fractional Laplacian system with critical exponent $$\begin{aligned} \left\{ \begin{array}{ll} (-\Delta )^{s}u=\lambda |u|^{p-2}u+\frac{2\alpha }{\alpha +\beta }|u|^{\alpha -2}u|v|^{\beta }, &{}\quad \hbox {in} \;\ \Omega ,\\ (-\Delta )^{s}v=\mu |v|^{p-2}v+\frac{2\beta }{\alpha… read more here.
Keywords: laplacian system; system critical; fractional laplacian; beta ... See more keywords
Infinitely many solutions for three quasilinear Laplacian systems on weighted graphs
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DOI: 10.1186/s13661-024-01846-2
Abstract: We investigate a generalized poly-Laplacian system with a parameter on weighted finite graphs, a generalized poly-Laplacian system with a parameter and Dirichlet boundary value on weighted locally finite graphs, and a ( p , q… read more here.
Keywords: finite graphs; system parameter; many solutions; solutions three ... See more keywords