Positive solutions of Ambrosetti-Prodi problems involving the critical Sobolev exponent

DOI10.1016/S0007-4497(01)01080-6zbMath0987.58009MaRDI QIDQ5937149

Wenzhi Wang, Thierry Aubin

Publication date: 16 June 2002

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

zbMATH Keywords

critical Sobolev exponentselliptic equationscompact manifolds

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Critical exponents in context of PDEs (35B33) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Boundary value problems on manifolds (58J32) Variational methods for second-order elliptic equations (35J20)

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Critical concave convex Ambrosetti-Prodi type problems for fractional \(\mathrm{p} \)-Laplacian ⋮ Mountain pass solution to a perturbated Hardy–Sobolev equation involving p-Laplacian on compact Riemannian manifolds ⋮ On the singular second-order elliptic equation ⋮ Second-order elliptic equation with singularities ⋮ Fixed points of convex maps in ordered Banach spaces ⋮ A quasilinear elliptic equation with critical growth on compact Riemannian manifold ⋮ Asymmetric critical \(p\)-Laplacian problems

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