We prove two multiplicity theorems producing two nodal solutions, and answer two open questions posed by Aizicovici et al. (2013) and by Barletta and Papageorgiou (2014). Our approach uses variational methods together with suitable truncation techniques and flow invariance arguments....
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Nodal sets for the groundstate of the Schroedinger operator with zero magnetic field in a n.pdf 2015-01-21上传 schroedinger nodal nodal analysis nodal stress operator operator new python operator smooth operator 文档格式: .pdf 文档大小:
Confocal microscopy analysis revealed that the pharynx of the treated larvae exhibits symmetrical morphology, with loss of left-sided structures such as the mouth and the preoral pit. Moreover, the left side of the treated larvae seems to be a mirror image of the right side, with duplication ...
L. Yadava, Elementary proof of the non-existence of nodal solutions for the semilinear elliptic equations with critical Sobolev exponent, Nonlinear Anal. 14 (1990), 785–787. Google Scholar F. Atkinson, H. Brezis & L. A. Peletier, Solutions d'equations elliptiques avec exposant de Sobolev ...
In this paper, we study the existence of least-energy nodal (sign-changing) solutions for a class of critical Schrödinger-Poisson system on the Heisenberg group given by {−ΔHu+μϕ|u|q−2u=λf(ξ,u)+|u|2u,inΩ,−ΔHϕ=|u|q,inΩ,u=ϕ=0,on∂Ω, ...