Lyapunov-type inequalities for the fractional p-sub-Laplacian
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Adams, R., Fournier, J.: Sobolev Spaces, vol. 140. Elsevier, Amsterdam (2003)
Abdellaoui, B., Bentifour, R.: Caffarelli-Kohn-Nirenberg type inequalities of fractional order with applications. J. Funct. Anal. 272(10), 3998–4029 (2017)
Di Nezza, E., Palatucci, G., Valdinoci, E.E.: Hitchhiker’s guide to the fractional Sobolev spaces. Bull. Sci. Math. 136(5), 521–573 (2012)
Elbert, A.: A half-linear second order differential equation. Colloq. Math. Soc. Janos Bolyai 30, 158–180 (1979)
Fischer, V., Ruzhansky, M.: Quantization on nilpotent Lie groups. In: Progress in Mathematics, vol. 314. Birkhäuser, Boston (2016)
Frank, R.L., Seiringer, R.: Non-linear ground state representations and sharp Hardy inequalities. J. Funct. Anal. 255(12), 3407–3430 (2008)
Jleli, M., Kirane, M., Samet, B.: Lyapunov-type inequalities for fractional partial differential equations. Appl. Math. Lett. 66, 30–39 (2017)
Kassymov, A., Ruzhansky, M., Suragan, D.: Hardy–Littlewood–Sobolev and Stein–Weiss inequalities on homogeneous Lie groups. Integral Transform. Spec. Funct. 30(8), 643–655 (2019)
Kassymov, A., Ruzhansky, M., Suragan, D.: Fractional logarithmic inequalities and blow-up results with logarithmic nonlinearity on homogeneous groups. Nonlinear Differ. Equ. Appl. NoDEA 27(1), 1–19 (2020)
Leonori, T., Peral, I., Primo, A., Soria, F.: Basic estimates for solutions of a class of nonlocal elliptic and parabolic equations. Discrete Contin. Dyn. Syst. A 35(12), 6031–6068 (2015)
Lyapunov, A. M.: Problème gènèral de la stabilitè du mouvement. Ann. Fac. Sci. Univ. Toulouse 2:203–407 (1907)
Ruzhansky, M., Suragan, D.: Hardy and Rellich inequalities, identities, and sharp remainders on homogeneous groups. Adv. Math. 317, 799–822 (2017)
Ruzhansky, M., Suragan, D.: On horizontal Hardy, Rellich, Caffarelli–Kohn–Nirenberg and p-sub-Laplacian inequalities on stratified groups. J. Differ. Equ. 262, 1799–1821 (2017)
Ruzhansky, M., Suragan, D.: Local Hardy and Rellich inequalities for sums of squares of vector fields. Adv. Differ. Equ. 22, 505–540 (2017)