Ambrosetti-Prodi-type problems for quasi-linear elliptic equations with nonlocal boundary conditions

DOI10.1007/s00526-015-0910-6zbMath1335.35067OpenAlexW1120771167MaRDI QIDQ5963579

Alejandro Vélez-Santiago

Publication date: 22 February 2016

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-015-0910-6

zbMATH Keywords

regularitya priori estimatesweak solutions\(p\)-Laplace operatorAmbrosetti-Prodi problemLeray-Schauder degree theorysub-supersolution method

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) A priori estimates in context of PDEs (35B45) Weak solutions to PDEs (35D30) Quasilinear elliptic equations (35J62) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (5)

Existence and multiplicity results for a critical superlinear fractional Ambrosetti-Prodi type problem ⋮ 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 ⋮ Ambrosetti-Prodi problem with degenerate potential and Neumann boundary condition

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