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Stability and critical dimension for Kirchhoff systems in closed manifolds
Advanced Nonlinear StudiesThe 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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Arbitrary-order intrinsic virtual element method for elliptic equations on surfaces. [PDF]
Calcolo, 2021 Bachini E, Manzini G, Putti M.
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Boundary Value Problems, 2011 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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Hypersurfaces in Hyperbolic Poincar\'e Manifolds and Conformally Invariant PDEs
, 2009 We derive a relationship between the eigenvalues of the Weyl-Schouten tensor of a conformal representative of the conformal infinity of a hyperbolic Poincar\'e manifold and the principal curvatures on the level sets of its uniquely associated defining ...
Bonini, Vincent +2 more
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Exponential coordinates and regularity of groupoid heat kernels
Open Mathematics, 2014 So Bing
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Multiplicity of solutions for critical Kirchhoff type equations
Communications in Partial Differential Equations, 2016Emmanuel Hebey
exaly
Profile of Blow-up Solutions to Mean Field Equations with Singular Data
Communications in Partial Differential Equations, 2004Daniele Bartolucci +2 more
exaly
COMPLEX POWERS OF RESOLVENTS OF PSEUDODIFFERENTIAL OPERATORS
Communications in Partial Differential Equations, 2002Gerd Grubb
exaly