An Ambrosetti–Prodi-type result for a quasilinear Neumann problem

DOI10.1017/S0013091512000041zbMath1257.35097OpenAlexW2150003433MaRDI QIDQ3167447

Marcelo Montenegro, Francisco Odair de Paiva

Publication date: 2 November 2012

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091512000041

zbMATH Keywords

a priori estimatesNeumann boundary conditionsdegree theorybifurcation theorysub-super solutionselliptic \(p\)-Laplacean

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) A priori estimates in context of PDEs (35B45) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (10)

Sublinear and superlinear Ambrosetti-Prodi problems for the Dirichlet \(p\)-Laplacian ⋮ Ambrosetti-Prodi problems for the Robin \((p, q)\)-Laplacian ⋮ An Ambrosetti–Prodi-type problem for the (p,q)-Laplacian operator ⋮ Generalized anisotropic Neumann problems of Ambrosetti-Prodi type with nonstandard growth conditions ⋮ A quasi-linear Neumann problem of Ambrosetti-Prodi type on extension domains ⋮ On the Ambrosetti-Prodi problem for a system involvingp-Laplacian operator ⋮ Ambrosetti-Prodi-type problems for quasi-linear elliptic equations with nonlocal boundary conditions ⋮ Ambrosetti-Prodi problem with degenerate potential and Neumann boundary condition ⋮ The critical fractional Ambrosetti-Prodi problem ⋮ On an Ambrosetti-Prodi type problem in \(\mathbb{R}^N\)

Cites Work

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• The geometry of the critical set of nonlinear periodic Sturm-Liouville operators
• On the inversion of some differentiable mappings with singularities between Banach spaces
• Linear and quasilinear elliptic equations
• Critical sets of nonlinear Sturm-Liouville operators of Ambrosetti-Prodi type
• Sharp existence results for a class of semilinear elliptic problems
• Boundary regularity for solutions of degenerate elliptic equations
• The Ambrosetti–Prodi Problem for thep-Laplace Operator
• Remarks about the geometry of the Ambrosetti-Prodi problem

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