Found 24 Documents (Results 1–24)
Hamilton and Li-Yau type gradient estimates for a weighted nonlinear parabolic equation under a super Perelman-Ricci flow. (English) Zbl 1534.53084
Souplet-Zhang and Hamilton-type gradient estimates for non-linear elliptic equations on smooth metric measure spaces. (English) Zbl 1522.53031
Explicit solutions of the Dirichlet-Schrödinger problem via the new cylindrical Poisson-Schrödinger kernel method. (English) Zbl 1519.35072
Gradient estimates for a nonlinear parabolic equation on smooth metric measure spaces with evolving metrics and potentials. (English) Zbl 1517.53085
Reviewer: Mohammed El Aïdi (Bogotá)
Gradient estimates for a weighted \(\Gamma\)-nonlinear parabolic equation coupled with a super Perelman-Ricci flow and implications. (English) Zbl 1517.53084
Reviewer: Mohammed El Aïdi (Bogotá)
Liouville theorems and elliptic gradient estimates for a nonlinear parabolic equation involving the Witten Laplacian. (English) Zbl 1512.58012
Gradient estimates for nonlinear elliptic equations involving the Witten Laplacian on smooth metric measure spaces and implications. (English) Zbl 1515.53036
Reviewer: Mihail Banaru (Smolensk)
Geometric estimates on weighted \(p\)-fundamental tone and applications to the first eigenvalue of submanifolds with bounded mean curvature. (English) Zbl 1518.58011
On multiple solutions to a family of nonlinear elliptic systems in divergence form coupled with an incompressibility constraint. (English) Zbl 1491.35187
Elliptic gradient estimates for a nonlinear \(f\)-heat equation on weighted manifolds with evolving metrics and potentials. (English) Zbl 1496.53100
The interplay between two Euler-Lagrange operators relating to the nonlinear elliptic system \(\Sigma [(u, {\mathscr{P}}), \varOmega]\). (English) Zbl 1464.35104
Reviewer: Vicenţiu D. Rădulescu (Craiova)
Gradient estimates for a weighted nonlinear parabolic equation and applications. (English) Zbl 1479.35156
Reviewer: Vincenzo Vespri (Firenze)
Comparison estimates on the first eigenvalue of a quasilinear elliptic system. (English) Zbl 1462.35217
On the existence and multiplicity of topologically twisting incompressible \(H\)-harmonic maps and a structural \(H\)-condition. (English) Zbl 1464.35105
Stability and local minimality of spherical harmonic twists \(u={\mathbf{Q}}(|x|) x|x|^{-1} \), positivity of second variations and conjugate points on \(\mathbf{SO}(n)\). (English) Zbl 1444.35050
Topology of twists, extremising twist paths and multiple solutions to the nonlinear system in variation \(\mathscr{L}[u] = \nabla \mathscr{P}\). (English) Zbl 1441.35119
Sphere-valued harmonic maps with surface energy and the \(K_{13}\) problem. (English) Zbl 1426.58002
On a class of stationary loops on \(\mathbf{SO}(n)\) and the existence of multiple twisting solutions to a nonlinear elliptic system subject to a hard incompressibility constraint. (English) Zbl 1499.74021
Whirl mappings on generalised annuli and the incompressible symmetric equilibria of the Dirichlet energy. (English) Zbl 1401.74043
Geodesics on \(\mathrm{SO}(n)\) and a class of spherically symmetric maps as solutions to a nonlinear generalised harmonic map problem. (English) Zbl 1400.35099
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