Results of Ambrosetti-Prodi type for non-selfadjoint elliptic operators

DOI10.1016/j.anihpc.2018.03.001OpenAlexW2962735812WikidataQ130150574 ScholiaQ130150574MaRDI QIDQ1618252

Boyan Sirakov, André Zaccur, Carlos Tomei

Publication date: 13 November 2018

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.05575

zbMATH Keywords

elliptic equationsmultiplicity resultsnon-divergence formAmbrosetti-Prodiglobal fold

Mathematics Subject Classification ID

Special classes of linear operators (47Bxx) Elliptic equations and elliptic systems (35Jxx) Connections of general topology with other structures, applications (54Hxx) Equations and inequalities involving nonlinear operators (47Jxx) Nonlinear operators and their properties (47Hxx)

Related Items (3)

Critical concave convex Ambrosetti-Prodi type problems for fractional \(\mathrm{p} \)-Laplacian ⋮ Positive eigenvectors and simple nonlinear maps ⋮ Generalized anisotropic Neumann problems of Ambrosetti-Prodi type with nonstandard growth conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Numerical analysis of semilinear elliptic equations with finite spectral interaction
• Some \(L_{p}\)-estimates for elliptic and parabolic operators with measurable coefficients
• On singularities of mappings of Euclidean spaces. I. Mappings of the plane into the plane
• Nonuniqueness of solutions for Dirichlet problems related to fully nonlinear singular or degenerate operators
• Some remarks on the number of solutions of some nonlinear elliptic problems
• Le nombre de solutions de certains problèmes semi-linéaires elliptiques
• On the ranges of certain weakly nonlinear elliptic partial differential equations
• Morin singularities and global geometry in a class of ordinary differential operators
• Elliptic partial differential equations of second order
• An Ambrosetti-Prodi-type problem for an elliptic system of equations via monotone iteration method and Leray-Schauder degree theory
• On the inversion of some differentiable mappings with singularities between Banach spaces
• Hopf's lemma and anti-maximum principle in general domains
• On the Ambrosetti-Prodi problem for non-variational elliptic systems
• A multiplicity result for a class of elliptic boundary value problems
• A Variational approach to superlinear elliptic problems
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• The principal eigenvalue and maximum principle for second‐order elliptic operators in general domains
• Cusps and a converse to the Ambrosetti-Prodi theorem
• Nonuniqueness for the Dirichlet Problem for Fully Nonlinear Elliptic Operators and the Ambrosetti–Prodi Phenomenon
• Geometric Aspects of Ambrosetti–Prodi Operators with Lipschitz Nonlinearities
• Fibers and global geometry of functions

This page was built for publication: Results of Ambrosetti-Prodi type for non-selfadjoint elliptic operators