Fibers and global geometry of functions

DOI10.1007/978-3-319-19902-3_5zbMath1337.46051arXiv1506.05090OpenAlexW2267497856MaRDI QIDQ5743914

Carlos Tomei, Marta Calanchi, André Zaccur

Publication date: 9 February 2016

Published in: Contributions to Nonlinear Elliptic Equations and Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.05090

zbMATH Keywords

semilinear elliptic equationsfoldsAmbrosetti-Prodi theoremDolph-Hammerstein theorem

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Continuous and differentiable maps in nonlinear functional analysis (46T20) Abstract inverse mapping and implicit function theorems involving nonlinear operators (47J07) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (4)

Results of Ambrosetti-Prodi type for non-selfadjoint elliptic operators ⋮ Ambrosetti-Prodi type results for Dirichlet problems of fractional Laplacian-like operators ⋮ Bifurcation beyond the principal eigenvalues for Neumann problems with indefi-nite weights ⋮ Positive eigenvectors and simple nonlinear maps

Cites Work

• Numerical analysis of semilinear elliptic equations with finite spectral interaction
• Le nombre de solutions de certains problèmes semi-linéaires elliptiques
• On the number of solutions of a nonlinear Dirichlet problem
• The exact number of solutions for a class of ordinary differential equations through Morse index computation
• Morin singularities and global geometry in a class of ordinary differential operators
• On the inversion of some differentiable mappings with singularities between Banach spaces
• A multiplicity result for the jumping nonlinearity problem.
• A finite element method for computing the bifurcation function for semilinear elliptic BVPs
• Global fold maps in differential and integral equations
• The Structure of a Nonlinear Elliptic Operator
• The principal eigenvalue and maximum principle for second‐order elliptic operators in general domains
• The diagonalization and computation of some nonlinear integral operators
• Examples of global normal forms for some simple nonlinear integral operators
• Approximation of the bifurcation function for elliptic boundary value problems
• Geometric Aspects of Ambrosetti–Prodi Operators with Lipschitz Nonlinearities
• Nonlinear Integral Equations of the Hammerstein Type
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