A variational approach to an ambrosetti-prodi type problem for a system of elliptic equations

DOI10.1016/0362-546X(95)00028-TzbMath0851.35033OpenAlexW2112524598MaRDI QIDQ4886569

D. C. de Morais Filho

Publication date: 18 November 1996

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(95)00028-t

zbMATH Keywords

nonexistencemultiple solutionssupersolution

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Variational methods for elliptic systems (35J50)

Related Items (13)

On the Ambrosetti-Prodi problem for non-variational elliptic systems ⋮ Elliptic systems of Hénon type involving one-sided critical growth ⋮ On the coupled systems of second and fourth order elliptic equations. ⋮ Critical Ambrosetti-Prodi type problems for systems of elliptic equations ⋮ Maximum principles for a coupled system of second and fourth order elliptic equations and an application ⋮ Ambrosetti-Prodi type results in elliptic systems ⋮ On the Ambrosetti-Prodi problem for a system involvingp-Laplacian operator ⋮ DIRICHLET BOUNDARY VALUE PROBLEM FOR A CLASS OF THE NONCOOPERATIVE ELLIPTIC SYSTEM ⋮ The Ambrosetti–Prodi problem for elliptic systems with Trudinger–Moser nonlinearities ⋮ The Ambrosetti-Prodi problem for gradient elliptic systems with critical homogeneous nonlinearity ⋮ Nonlinear perturbations of a coupled system of steady-state suspension bridge equations ⋮ Mountain pass solutions for the coupled systems of second and fourth order elliptic equations ⋮ On an Ambrosetti-Prodi type problem in \(\mathbb{R}^N\)

Cites Work

• Unnamed Item
• Periodic solutions of superquadratic Hamiltonian systems
• Lectures on the Ekeland variational principle with applications and detours. Lectures delivered at the Indian Institute of Science, Bangalore, India under the T.I.F.R.-I.I.Sc. programme in applications of mathematics
• 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
• Dual variational methods in critical point theory and applications
• A Variational approach to superlinear elliptic problems
• On a class of superlinear elliptic problems
• On maximum principles for cooperative elliptic systems via fixed point index

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