Cusps and a converse to the Ambrosetti-Prodi theorem

DOI10.2422/2036-2145.201511_005zbMath1403.35040arXiv1508.01436OpenAlexW2809847026MaRDI QIDQ4571188

André Zaccur, Carlos Tomei, Marta Calanchi

Publication date: 6 July 2018

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.01436

zbMATH Keywords

convexitycritical pointscuspsglobal foldAmbrosetti-Prodi theoremstandard boundary conditionDirichlet, Neumann and periodic boundary conditions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Equations involving nonlinear operators (general) (47J05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Bifurcations in context of PDEs (35B32) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (4)

Results of Ambrosetti-Prodi type for non-selfadjoint elliptic operators ⋮ Bifurcation beyond the principal eigenvalues for Neumann problems with indefi-nite weights ⋮ Positive eigenvectors and simple nonlinear maps ⋮ Detection of high codimensional bifurcations in variational PDEs

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