A note on topological degree for potential operators

DOI10.1016/0022-247X(75)90134-1zbMath0307.47058MaRDI QIDQ1218142

Paul H. Rabinowitz

Publication date: 1975

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Shells (74K25) Nonlinear elliptic equations (35J60) Variational problems in infinite-dimensional spaces (58E99)

Related Items (32)

Forced vibration of an aero-elastic plate ⋮ Topological degree for \((S)_{+}\)-mappings with maximal monotone perturbations and its applications to variational inequalities ⋮ On the existence of infinite sequences of ordered positive solutions of nonlinear elliptic eigenvalue problems ⋮ A variational approach to a problem of rotating rods ⋮ ATUS-PRO: a FEM-based solver for the time-dependent and stationary Gross-Pitaevskii equation ⋮ Bifurcation from degenerate solutions of equations involving lipschitz continuous mappings^∗ ⋮ Topological characteristics of extremals of variational problems ⋮ Periodic solutions of symmetric Hamiltonian systems ⋮ Multiple critical points of saddle geometry functionals ⋮ Critical point theory and the number of solutions of a nonlinear Dirichlet problem ⋮ Bifurcation of closed orbits from equilibria of Newtonian systems with Coriolis forces ⋮ A generalised comparison principle for the Monge-Ampère equation and the pressure in 2D fluid flows ⋮ On topological degree for potential operators of class \((S)_{+}\). ⋮ A Note on Degree Theory for Gradient Mappings ⋮ The buckling of elastic spherical caps ⋮ Symmetric Liapunov center theorem for minimal orbit ⋮ A reduction method for some nonlinear dirichlet problems ⋮ A nonlinear superposition principle and multibump solutions of periodic Schrödinger equations ⋮ On the three essential critical values theorem ⋮ On the existence of multiple decaying positive solutions of elliptic equations ⋮ Bifurcation and stability for a class of shells ⋮ Finiteness and positivity results for global minimizers of a semilinear elliptic problem ⋮ Multiple steady states for rotating rods ⋮ Topological index of extremals of multidimensional variational problems ⋮ Variational study of bifurcations in von Kármán equations ⋮ On multiple positive solutions of nonlinear elliptic eigenvalue problems ⋮ Variational and topological methods in nonlinear problems ⋮ Higher order nonlinear elliptic equations ⋮ Multiplicity of solutions for an elliptic Kirchhoff equation ⋮ Multiple solutions for the fractional \(p\)-Laplacian with jumping reactions ⋮ Bifurcation problems for equations involving Lipschitz continuous mappings ⋮ Critical point theory and boundary value problems with nonlinearities crossing multiple eigenvalues

Cites Work

• Applications of global analysis to specific nonlinear eigenvalue problems
• On von kármán's equations and the buckling of a thin elastic plate, I the clamped plate
• A relation between the type numbers of a critical point and the index of the corresponding field of gradient vectors
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A note on topological degree for potential operators