Results 111 to 120 of about 121,934 (291)
In this paper, we first obtain the existence of solutions for a class of elliptic equations involving critical variable exponents and nonlinear boundary values by the mountain pass theorem and concentration compactness principle.
Yingying Shan, Yongqiang Fu
doaj +1 more source
Uncertainty principles for the Fock space [PDF]
Several uncertainty principles are proved for the Fock space.
arxiv
Abstract Purpose A new workflow was investigated for Elekta Unity MR‐Linac by removing the computed tomography (CT)‐simulation step and using diagnostic CT (DCT) for reference plan generation. Materials and methods Ten patients with ultra‐hypofractionated prostate cancer treated with magnetic resonance imaging (MRI)‐guided adaptive radiotherapy were ...
Yuan Xu+5 more
wiley +1 more source
The concentration-compactness principle for fractional order Sobolev spaces in unbounded domains and applications to the generalized fractional Brezis-Nirenberg problem [PDF]
Julián Fernández Bonder+2 more
+5 more sources
Abstract Purpose This study evaluates the dosimetric and geometric precision of a virtual cone technique using CBCT‐based polymer gel dosimetry, enabling radiation delivery, and imaging readout within an identical spatial coordinate system. Methods We created a C# script for a virtual cone technique that generates a treatment plan with 10 gantry arcs ...
Tenzin Kunkyab+6 more
wiley +1 more source
Fractional elliptic problems with two critical Sobolev-Hardy exponents
By using the mountain pass lemma and a concentration compactness principle, we obtain the existence of positive solutions to the fractional elliptic problem with two critical Hardy-Sobolev exponents at the origin.
Wenjing Chen
doaj
Sherali-Adams and the binary encoding of combinatorial principles [PDF]
We consider the Sherali-Adams (SA) refutation system together with the unusual binary encoding of certain combinatorial principles. For the unary encoding of the Pigeonhole Principle and the Least Number Principle, it is known that linear rank is required for refutations in SA, although both admit refutations of polynomial size.
arxiv
Abstract Background Dual‐energy cone‐beam CT (DE‐CBCT) has become subject of recent interest due to the ability to produce virtual monoenergetic images (VMIs) with improved soft‐tissue contrast and reduced nonuniformity artifacts. However, efficient production and optimization of VMIs remains an under‐explored part of DE‐CBCT's application.
Andrew Keeler+4 more
wiley +1 more source
A Nonhomogeneous Fractional p-Kirchhoff Type Problem Involving Critical Exponent in ℝN
This paper concerns itself with the nonexistence and multiplicity of solutions for the following fractional Kirchhoff-type problem involving the critical Sobolev exponent:
Xiang Mingqi, Zhang Binlin, Zhang Xia
doaj +1 more source