Anisotropic pitting of single-phase β-Zr alloy and isotropic pitting of α + β double-phase Zr alloy
Sign Up to like & getrecommendations! Published in 2017 at "Corrosion Science"
DOI: 10.1016/j.corsci.2017.08.006
Abstract: Abstract Pitting corrosion behaviour of Zr-40Ti-5Al–4 V alloys with different phase composition was investigated. Pitting of the single-phase β-Zr alloy is crystallographic and the corrosion pits exhibit different orientation, which is mainly attributed to the favored… read more here.
Keywords: phase; phase alloy; double phase; pitting single ... See more keywords
Concentration of solutions for fractional double-phase problems: critical and supercritical cases
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2021.08.038
Abstract: Abstract This paper is concerned with concentration and multiplicity properties of solutions to the following fractional problem with unbalanced growth and critical or supercritical reaction: { ( − Δ ) p s u + (… read more here.
Keywords: critical supercritical; concentration solutions; solutions fractional; double phase ... See more keywords
Renormalized non-negative solutions for the double phase Dirichlet problems with L1 data
Sign Up to like & getrecommendations! Published in 2023 at "Journal of Mathematical Physics"
DOI: 10.1063/5.0145741
Abstract: This article investigates a class of double phase problem with L1 data. Some new criteria to guarantee that the existence and uniqueness of non-negative renormalized solutions for the considered problem are established by using the… read more here.
Keywords: solutions double; renormalized non; phase dirichlet; non negative ... See more keywords
Nehari manifold approach for double phase problems involving anisotropic matrices diffusion
Sign Up to like & getrecommendations! Published in 2025 at "Applicable Analysis"
DOI: 10.1080/00036811.2025.2489468
Abstract: This paper tackles new kind of double phase problems characterized by variable exponent matrices diffusion and nonlinear boundary conditions. Using the Nehari manifold technique, we investigate the existence and multiplicity results of nonnegative weak solutions… read more here.
Keywords: nehari manifold; matrices diffusion; double phase; phase problems ... See more keywords
Entanglement entropy of an annulus in holographic thermalization
Sign Up to like & getrecommendations! Published in 2020 at "Chinese Physics C"
DOI: 10.1088/1674-1137/44/2/023101
Abstract: The thermalization process of the holographic entanglement entropy (HEE) of an annular domain is investigated over the Vaidya-AdS geometry. We numerically determine the Hubeny-Rangamani-Takayanagi (HRT) surface which may be a hemi-torus or two disks, depending… read more here.
Keywords: entanglement; entanglement entropy; phase transitions; double phase ... See more keywords
Generation of Phase-Only Fourier Hologram Based on Double Phase Method and Quantization Error Analysis
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Photonics Journal"
DOI: 10.1109/jphot.2020.3017503
Abstract: The double phase method is an efficient way to generate phase-only holograms with high reconstruction quality due to no addition of a random phase. However, it cannot directly encode the Fourier spectrum because of the… read more here.
Keywords: quantization error; method; phase; double phase ... See more keywords
Fractional double-phase nonlocal equation in Musielak-Orlicz Sobolev space
Sign Up to like & getrecommendations! Published in 2024 at "Boundary Value Problems"
DOI: 10.1186/s13661-024-01877-9
Abstract: In this paper, we analyze the existence of solutions to a double-phase fractional equation of the Kirchhoff type in Musielak-Orlicz Sobolev space with variable exponents. Our approach is mainly based on the sub-supersolution method and… read more here.
Keywords: equation; sobolev space; musielak orlicz; orlicz sobolev ... See more keywords
Spectral-envelope modulated double-phase method for computer-generated holography.
Sign Up to like & getrecommendations! Published in 2022 at "Optics express"
DOI: 10.1364/oe.463462
Abstract: Computer-generated holography provides an approach to modulate the optical wavefront with computationally synthesized holograms. Since the hardware implementation for complex wavefronts is not yet available, double-phase decomposition is utilized as a complex encoding method of… read more here.
Keywords: double phase; phase method; phase; computer generated ... See more keywords
Optimization of a light field hologram via double-phase constrained spectrum tiling regularized by angular sampling.
Sign Up to like & getrecommendations! Published in 2025 at "Optics express"
DOI: 10.1364/oe.572023
Abstract: A realistic holographic near-eye display (NED) requires uniform energy distribution within the eyebox, enabling users to have an immersive visual experience at various positions within the eyebox. However, the demand for observing low-speckle viewpoint images… read more here.
Keywords: field; angular sampling; within eyebox; double phase ... See more keywords
Ground states for fractional Kirchhoff double-phase problem with logarithmic nonlinearity
Sign Up to like & getrecommendations! Published in 2025 at "Demonstratio Mathematica"
DOI: 10.1515/dema-2025-0137
Abstract: Abstract Our primary objective is to study the solvability of two kinds of fractional Kirchhoff double-phase problem involving logarithmic nonlinearity in R N {{\mathbb{R}}}^{N} via the variational approach. To address the modulation coefficient in fractional… read more here.
Keywords: logarithmic nonlinearity; fractional kirchhoff; double phase; kirchhoff double ... See more keywords
A Multiplicity Theorem for Superlinear Double Phase Problems
Sign Up to like & getrecommendations! Published in 2021 at "Symmetry"
DOI: 10.3390/sym13091556
Abstract: We consider a nonlinear Dirichlet problem driven by the double phase differential operator and with a superlinear reaction which need not satisfy the Ambrosetti–Rabinowitz condition. Using the Nehari manifold, we show that the problem has… read more here.
Keywords: phase; multiplicity theorem; double phase; theorem superlinear ... See more keywords