The Ambrosetti-Prodi problem for gradient elliptic systems with critical homogeneous nonlinearity

DOI10.1016/j.jmaa.2009.09.048zbMath1182.35103OpenAlexW1997721567MaRDI QIDQ1046513

J. Blot

Publication date: 22 December 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.09.048

zbMATH Keywords

critical growthAmbrosetti-Prodi problemgradient systems

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Weak solutions to PDEs (35D30) Boundary value problems for second-order elliptic systems (35J57)

Related Items (9)

Multiple solutions for \(p\)-Laplacian systems with critical homogeneous nonlinearity ⋮ Multiplicity results for fractional systems crossing high eigenvalues ⋮ Elliptic systems of Hénon type involving one-sided critical growth ⋮ Multiple solutions for a class of biharmonic elliptic systems with Sobolev critical exponent ⋮ An Ambrosetti–Prodi-type problem for the (p,q)-Laplacian operator ⋮ Existence and multiplicity results for critical growth polyharmonic elliptic systems ⋮ Semilinear elliptic problems with asymmetric nonlinearities ⋮ The Ambrosetti–Prodi problem for elliptic systems with Trudinger–Moser nonlinearities ⋮ Ambrosetti-Prodi-type results for a class of difference equations with nonlinearities indefinite in sign

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• On the superlinear ambrosetti-prodi problem involving critical Sobolev exponents
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