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- W4226011014 abstract "<abstract><p>The aim of this paper is to study the existence of ground states for a class of fractional Kirchhoff type equations with critical or supercritical nonlinearity</p> <p><disp-formula> <label/> <tex-math id=FE1> begin{document}$ (a+bint_{mathbb{R}^{3}}|(-bigtriangleup)^{frac{s}{2}}u|^{2}dx)(-bigtriangleup)^{s}u = lambda u +|u|^{q-2 }u+mu|u|^{p-2}u, xinmathbb{R}^{3}, $end{document} </tex-math></disp-formula></p> <p>with prescribed $ L^{2} $-norm mass</p> <p><disp-formula> <label/> <tex-math id=FE2> begin{document}$ int_{mathbb{R}^{3}}u^{2}dx = c^{2} $end{document} </tex-math></disp-formula></p> <p>where $ sin(frac{3}{4}, 1), a, b, c > 0, frac{6+8s}{3} < q < 2_{s}^{ast}, pgeq 2^{ast}_{s} (2^{ast}_{s} = frac{6}{3-2s}), mu > 0 $ and $ lambdain mathbb{R} $ as a Langrange multiplier. By combining an appropriate truncation argument with Moser iteration method, we prove that the existence of normalized solutions for the above equation when the parameter $ mu $ is sufficiently small.</p></abstract>" @default.
- W4226011014 created "2022-05-05" @default.
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- W4226011014 date "2022-01-01" @default.
- W4226011014 modified "2023-09-25" @default.
- W4226011014 title "Normalized ground states for fractional Kirchhoff equations with critical or supercritical nonlinearity" @default.
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- W4226011014 doi "https://doi.org/10.3934/math.2022603" @default.
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