Results 71 to 80 of about 604 (96)

Ground states for fractional Kirchhoff double-phase problem with logarithmic nonlinearity

Demonstratio Mathematica
Our primary objective is to study the solvability of two kinds of fractional Kirchhoff double-phase problem involving logarithmic nonlinearity in RN{{\mathbb{R}}}^{N} via the variational approach.
Cheng Yu, Shang Suiming, Bai Zhanbing
doaj   +1 more source

Stability and critical dimension for Kirchhoff systems in closed manifolds

Advanced Nonlinear Studies
The Kirchhoff equation was proposed in 1883 by Kirchhoff [Vorlesungen über Mechanik, Leipzig, Teubner, 1883] as an extension of the classical D’Alembert’s wave equation for the vibration of elastic strings. Almost one century later, Jacques Louis Lions [“
Hebey Emmanuel
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Normalized solutions for Sobolev critical fractional Schrödinger equation

Advances in Nonlinear Analysis
In the present study, we investigate the existence of the normalized solutions to Sobolev critical fractional Schrödinger equation: (−Δ)su+λu=f(u)+∣u∣2s*−2u,inRN,(Pm)∫RN∣u∣2dx=m2,\hspace{14em}\left\{\begin{array}{ll}{\left(-\Delta )}^{s}u+\lambda u=f ...
Li Quanqing, Nie Jianjun, Wang Wenbo, Zhou Jianwen   +3 more
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Interior regularity of obstacle problems for nonlinear subelliptic systems with VMO coefficients. [PDF]

J Inequal Appl, 2018
Du G, Li F.
europepmc   +1 more source

HARDI DATA DENOISING USING VECTORIAL TOTAL VARIATION AND LOGARITHMIC BARRIER. [PDF]

Inverse Probl Imaging (Springfield), 2010
Kim Y, Thompson PM, Vese LA.
europepmc   +1 more source

Nontrivial solutions for a generalized poly-Laplacian system on finite graphs

Demonstratio Mathematica
We investigate the existence and multiplicity of solutions for a class of the generalized coupled system involving poly-Laplacian and the parameter λ\lambda on finite graphs.
Qi Wanting, Zhang Xingyong
doaj   +1 more source

Normalized solutions for the Kirchhoff equation with combined nonlinearities in ℝ4

Advances in Nonlinear Analysis
In this article, we study the following Kirchhoff equation with combined nonlinearities: −a+b∫R4∣∇u∣2dxΔu+λu=μ∣u∣q−2u+∣u∣2u,inR4,∫R4∣u∣2dx=c2,\left\{\begin{array}{l}-\left(a+b\mathop{\displaystyle \int }\limits_{{{\mathbb{R}}}^{4}}{| \nabla u| }^{2}{\rm ...
Qiu Xin, Ou Zeng-Qi, Tang Chun-Lei, Lv Ying   +3 more
doaj   +1 more source

The Weak Galerkin Method for Linear Hyperbolic Equation

, 2018
Q. Zhai, Ran Zhang, N. Malluwawadu, S. Hussain   +3 more
semanticscholar   +1 more source

LARGE SOLUTIONS OF QUASILINEAR ELLIPTIC EQUATION OF MIXED TYPE

, 2014
Y. Zhang, Zuodong Yang
semanticscholar   +1 more source

Partial regularity for minima of higher-order quasiconvex integrands with natural Orlicz growth. [PDF]

Ann Mat Pura Appl
Irving C.
europepmc   +1 more source