Results 11 to 20 of about 40 (40)

New multiplicity results in prescribing Q-curvature on standard spheres

Advanced Nonlinear Studies
In this paper, we study the problem of prescribing Q-Curvature on higher dimensional standard spheres. The problem consists in finding the right assumptions on a function K so that it is the Q-Curvature of a metric conformal to the standard one on the ...
Ben Ayed Mohamed, El Mehdi Khalil
doaj   +1 more source

On subsolutions and concavity for fully nonlinear elliptic equations

Advanced Nonlinear Studies
Subsolutions and concavity play critical roles in classical solvability, especially a priori estimates, of fully nonlinear elliptic equations. Our first primary goal in this paper is to explore the possibility to weaken the concavity condition.
Guan Bo
doaj   +1 more source

Blowing-up solutions concentrated along minimal submanifolds for some supercritical Hamiltonian systems on Riemannian manifolds

Advances in Nonlinear Analysis
Let (ℳ,g)\left({\mathcal{ {\mathcal M} }},g) and (K,κ)\left({\mathcal{K}},\kappa ) be two Riemannian manifolds of dimensions NN and mm, respectively. Let ω∈C2(ℳ)\omega \in {C}^{2}\left({\mathcal{ {\mathcal M} }}) satisfy ω>0\omega \gt 0.
Chen Wenjing, Wang Zexi
doaj   +1 more source

Comparison formulas for total mean curvatures of Riemannian hypersurfaces

Advanced Nonlinear Studies
We devise some differential forms after Chern to compute a family of formulas for comparing total mean curvatures of nested hypersurfaces in Riemannian manifolds.
Ghomi Mohammad
doaj   +1 more source

Infinitely many free or prescribed mass solutions for fractional Hartree equations and Pohozaev identities

Advanced Nonlinear Studies
In this paper we study the following nonlinear fractional Hartree (or Choquard-Pekar) equation (−Δ)su+μu=(Iα*F(u))F′(u) inRN, ${\left(-{\Delta}\right)}^{s}u+\mu u=\left({I}_{\alpha }{\ast}F\left(u\right)\right){F}^{\prime }\left(u\right)\quad \text{in} {\
Cingolani Silvia, Gallo Marco, Tanaka Kazunaga   +2 more
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
doaj   +1 more source

Arbitrary-order intrinsic virtual element method for elliptic equations on surfaces. [PDF]

Calcolo, 2021
Bachini E, Manzini G, Putti M.
europepmc   +1 more source

Singular limiting solutions for elliptic problem involving exponentially dominated nonlinearity and convection term

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, Ouni Taieb, Trabelsi Nihed, Baraket Sami   +3 more
doaj  

Exponential coordinates and regularity of groupoid heat kernels

Open Mathematics, 2014
So Bing
doaj   +1 more source

On a class of nonlocal elliptic operators for compact Lie groups. Uniformization and finiteness theorem

Open Mathematics, 2011
Sternin Boris
doaj   +1 more source