Normalized solutions for the Kirchhoff equation with combined nonlinearities in ℝ4
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 +3 more
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Strongly indefinite systems with critical Sobolev exponents
We consider an elliptic system of Hamiltonian type on a bounded domain. In the superlinear case with critical growth rates we obtain existence and positivity results for solutions under suitable conditions on the linear terms.
Enzo Mitidieri +2 more
core
Normalized solutions for Sobolev critical fractional Schrödinger equation
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 +3 more
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Interior regularity of obstacle problems for nonlinear subelliptic systems with VMO coefficients. [PDF]
Du G, Li F.
europepmc +1 more source
HARDI DATA DENOISING USING VECTORIAL TOTAL VARIATION AND LOGARITHMIC BARRIER. [PDF]
Kim Y, Thompson PM, Vese LA.
europepmc +1 more source
Nontrivial solutions for a generalized poly-Laplacian system on finite graphs
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
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Partial regularity for minima of higher-order quasiconvex integrands with natural Orlicz growth. [PDF]
Irving C.
europepmc +1 more source
Ground states for asymptotically periodic Schrödinger-Poisson systems with critical growth
Zhang Hui +3 more
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On phase segregation in nonlocal two-particle Hartree systems
Aschbacher Walter, Squassina Marco
doaj +1 more source
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