Results 61 to 70 of about 52,371 (280)
Normalized solutions for a fractional coupled critical Hartree system
Electronic Journal of Qualitative Theory of Differential EquationsWe consider the existence of normalized solutions for a fractional coupled Hartree system, with the upper critical exponent in the sense of the Hardy-Littelwood-Sobolev inequality.
Shengbing Deng, Wenshan Luo
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On a geometric equation involving the Sobolev trace critical exponent [PDF]
Journal of Inequalities and Applications, 2013 Abstract In this paper we consider the problem of prescribing the mean curvature on the boundary of the unit ball of R n , n ≥ 4 . Under the
Khadija Sharaf +2 more
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Journal of Geophysical Research: Solid Earth, Volume 130, Issue 6, June 2025.Abstract The Hawaiian Ridge is a classic example of an intraplate volcanic island chain emplaced on oceanic lithosphere. We seek to constrain both the deformation from island loading around the Hawaiian Ridge and the influence of the oceanic lithosphere, including the Molokaʻi fracture zone (MFZ), on off‐axis volcanic emplacement.
Brian Boston +7 more
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, 2018 We study a class of singular elliptic equations involving critical Sobolev exponent and Kirchhoff-type nonlocal term − ( a + b ∫ Ω |∇u| 2dx ) ∆u = u5 + g(x, u) + λu−γ, x ∈ Ω, u > 0, x ∈ Ω, u = 0, x ∈ ∂Ω, where Ω ⊂ R3 is a bounded domain, a, b, λ > 0, 0 <
Jiu Liu, A. Hou, Jia‐Feng Liao
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Journal of Geophysical Research: Solid Earth, Volume 130, Issue 6, June 2025.Abstract The rheological behavior of olivine deforming by dislocation creep controls geodynamic processes that involve steady‐state flow or transient viscosity evolution. Longstanding rheological models applied to both contexts assume that dislocation creep of olivine aggregates occurs close to the isostrain endmember with each grain deforming to the ...
David Wallis +2 more
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, 2017 We prove the existence of ground state solutions by variational methods to the nonlinear Choquard equations with a nonlinear perturbation \[ -{\Delta}u+ u=\big(I_\alpha*|u|^{\frac{\alpha}{N}+1}\big)|u|^{\frac{\alpha}{N}-1}u+f(x,u)\qquad \text{ in ...
Van Schaftingen, Jean, Xia, Jiankang
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Mathematical Modelling and Analysis, 2012 In this paper, we consider a class of quasilinear elliptic systems with weights and the nonlinearity involving the critical Hardy–Sobolev exponent and one sign-changing function.
Nemat Nyamoradi
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Hydration State and Updip Fluid Migration in the Slab Mantle
Journal of Geophysical Research: Solid Earth, Volume 130, Issue 6, June 2025.Abstract Fluid production from dehydration reactions and fluid migration in the subducting slab impact various subduction processes, including intraslab and megathrust earthquakes, episodic slip and tremor, mantle wedge metasomatism, and arc‐magma genesis. Quantifying those processes requires a good knowledge of the location and amount of fluid release
Nestor G. Cerpa, Ikuko Wada
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Electronic Journal of Differential Equations, 2018 In this article, we study the fractional elliptic equation with critical Sobolev-Hardy nonlinearity $$\displaylines{ (-\Delta)^{\alpha} u+a(x) u=\frac{|u|^{2^*_{s}-2}u}{|x|^s}+k(x)|u|^{q-2}u,\cr u\in H^\alpha(\mathbb{R}^N), }$$ where ...
Lingyu Jin, Shaomei Fang
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Infinitely many solutions for a critical p(x)-Kirchhoff equation with Steklov boundary value
AIMS MathematicsIn this paper, we aim to tackle the questions of existence and multiplicity of solutions of the $ p(x) $-Kirchhoff problem involving critical exponent and the Steklov boundary value.
Khaled Kefi +3 more
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