Concentration phenomena for a fractional relativistic Schrödinger equation with critical growth
In this paper, we are concerned with the following fractional relativistic Schrödinger equation with critical growth: (−Δ+m2)su+V(εx)u=f(u)+u2s*−1inRN,u∈Hs(RN),u>0inRN,\left\{\begin{array}{ll}{\left(-\Delta +{m}^{2})}^{s}u+V\left(\varepsilon x)u=f\left(u)
Ambrosio Vincenzo
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Inverse localization of earliest cardiac activation sites from activation maps based on the viscous Eikonal equation. [PDF]
Kunisch K, Neic A, Plank G, Trautmann P.
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Existence of nontrivial weak solutions for a quasilinear Choquard equation. [PDF]
Lee J, Kim JM, Bae JH, Park K.
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Given Ω bounded open regular set of ℝ2 and x1, x2, ..., xm ∈ Ω, we give a sufficient condition for the problem to have a positive weak solution in Ω with u = 0 on ∂Ω, which is singular at each xi as the parameters
Abid Imed +3 more
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A discontinuous Poisson-Boltzmann equation with interfacial jump: homogenisation and residual error estimate. [PDF]
Fellner K, Kovtunenko VA.
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Properties of minimizers for L2-subcritical Kirchhoff energy functionals
We consider the properties of minimizers for the following constraint minimization problem: i(c)≔infu∈S1Ic(u),i\left(c):= \mathop{\inf }\limits_{u\in {S}_{1}}{I}_{c}\left(u), where the L2{L}^{2}-unite sphere S1={u∈H1(RN)∣∫RNV(x)u2dxc˜pp∈0,4Nc\gt ...
Guo Helin, Zhao Lingling
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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
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Conformal Geometry and the Composite Membrane Problem
Chanillo Sagun
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