The role of the scalar curvature in a nonlinear elliptic problem on Riemannian manifolds

From MaRDI portal
Publication:1006418

DOI10.1007/s00526-008-0183-4zbMath1161.58310OpenAlexW2006934881WikidataQ115387626 ScholiaQ115387626MaRDI QIDQ1006418

Angela Pistoia, Anna Maria Micheletti

Publication date: 24 March 2009

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-008-0183-4




Related Items

Compactness and blow up results for doubly perturbed Yamabe problems on manifolds with non umbilic boundaryBlowing up solutions for supercritical Yamabe problems on manifolds with non-umbilic boundaryConstruction of solutions for a nonlinear elliptic problem on Riemannian manifolds with boundaryLinear perturbation of the Yamabe problem on manifolds with boundaryOn spike solutions for a singularly perturbed problem in a compact Riemannian manifoldCurvature effect in the spinorial Yamabe problem on product manifoldsMultipeak solutions for the Yamabe equationOn the existence of nodal solutions for a nonlinear elliptic problem on symmetric Riemannian manifoldsMultipeak solutions for asymptotically critical elliptic equations on Riemannian manifoldsBoundary layers to a singularly perturbed Klein-Gordon-Maxwell-Proca system on a compact Riemannian manifold with boundaryClustered solutions for supercritical elliptic equations on Riemannian manifoldsSpike solutions for a fractional elliptic equation in a compact Riemannian manifoldNon-compactness and infinite number of conformal initial data sets in high dimensionsCompactness and blow up results for doubly perturbed Yamabe problems on manifolds with umbilic boundarySome generic properties of non degeneracy for critical points of functionals and applicationsGlobal bifurcation techniques for Yamabe type equations on Riemannian manifoldsThe role of the scalar curvature in some singularly perturbed coupled elliptic systems on Riemannian manifoldsVector solutions for two coupled Schrödinger equations on Riemannian manifoldsA note on solutions of Yamabe-type equations on products of spheresNon-stability of Paneitz-Branson type equations in arbitrary dimensionsNondegeneracy of critical points of the mean curvature of the boundary for Riemannian manifoldsBlow-up phenomena for linearly perturbed Yamabe problem on manifolds with umbilic boundarySolutions to a singularly perturbed supercritical elliptic equation on a Riemannian manifold concentrating at a submanifoldNonlinear Klein-Gordon-Maxwell systems with Neumann boundary conditions on a Riemannian manifold with boundaryGeneric properties of critical points of the scalar curvature for a Riemannian manifoldThe Gierer-Meinhardt system on a compact two-dimensional Riemannian manifold: Interaction of Gaussian curvature and Green's functionStable spike clusters on a compact two-dimensional Riemannian manifoldMultipeak solutions for some singularly perturbed nonlinear elliptic problems on Riemannian manifoldsSolutions of the Yamabe equation by Lyapunov-Schmidt reductionPositive solutions for a singularly perturbed nonlinear elliptic problem on manifolds via Morse theoryNew Type of Sign-Changing Blow-up Solutions for Scalar Curvature Type Equations



Cites Work