Multiplicity of solutions to a nonlinear elliptic problem on a Riemannian orbifold

DOI10.1016/j.na.2023.113387arXiv2302.05147OpenAlexW4386990963MaRDI QIDQ6086065

Gustavo de Paula Ramos

Publication date: 9 November 2023

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.05147

zbMATH Keywords

weak solutionsnonlinear elliptic equationLusternik-Schnirelmann categoryRiemannian orbifold

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Elliptic equations on manifolds, general theory (58J05) Weak solutions to PDEs (35D30)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Computations of the orbifold Yamabe invariant
• Monopole metrics and the orbifold Yamabe problem
• The effect of the domain topology on the number of positive solutions of nonlinear elliptic problems
• Multiplicity results for the Yamabe equation by Lusternik-Schnirelmann theory
• Harmonic maps of V-manifolds
• Lusternik-Schnirelman and Morse theory for the van der Waals-Cahn-Hilliard equation with volume constraint
• On the multiplicity of solutions of a nonlinear elliptic problem on Riemannian manifolds
• Conformally prescribed scalar curvature on orbifolds
• Riemannian $L^{p}$ center of mass: Existence, uniqueness, and convexity
• Riemannian center of mass and mollifier smoothing
• The Yamabe invariants of orbifolds and cylindrical manifolds, and L[2-harmonic spinors]
• On geodesic flows with symmetries and closed magnetic geodesics on orbifolds
• Orbifold spectral theory

This page was built for publication: Multiplicity of solutions to a nonlinear elliptic problem on a Riemannian orbifold