Nettet18. jun. 2013 · The method of moving spheres reflects across the sphere, using the Kelvin transformation, while the method of moving planes reflects across a plane. For the Kelvin transform to be well defined, the domain of definition for the function needs to satisfy certain fairly specific properties, that is to say, $\frac{x}{ x ... Nettet1. aug. 2024 · The method of moving planes is a powerful tool to study the radial solutions of fractional Laplacian equation. This method, introduced by Alexanderoff in …
A direct method of moving planes for the fractional Laplacian
Nettet7. aug. 2024 · Exploiting the moving plane method and some weak and strong comparison principles, we deduce symmetry and monotonicity properties of positive solutions under … NettetMain results. In this paper, inspired by the direct moving planes methods for (−∆)s, (−∆)s p and (−∆ + m2)s established in [23, 25, 39, 46], we will establish various maximum principles and introduce the method of moving planes forthe uniformly elliptic nonlocal Bellman operators F s and the sliding method (on general unbounded ... dreamland sweatpants
Subelliptic equations with singular nonlinearities on the …
Nettet7. jul. 2024 · For the degenerate p-Laplacian problem, the idea of boundary estimation instead of the narrow region principle in the method of moving planes is proposed in [19], and the symmetry results for... Nettet3. mai 2024 · The key ingredients of this method are to introduce the method of moving planes in an integral form, and establish the equivalence between fractional Laplacian equation and integral equation. The details can be found in [ 7, 8, 9, 15, 19, 21, 26, 27, 31, 32, 34, 40, 42, 43 ]. NettetTo apply the moving plane method we first prove a weak comparison theorem for solutions of differential inequalities in unbounded domains. Download to read the full article text Author information Authors and Affiliations Dipartimento di Matematica, Università di Roma “Tor Vergata”, via della Ricerca Scientifica, 00133 Roma, Italy , , , , , , IT dreamland super king size electric blanket