On the superlinear ambrosetti-prodi problem involving critical Sobolev exponents

DOI10.1016/0362-546X(91)90231-OzbMath0762.35032OpenAlexW2083981309MaRDI QIDQ4008889

Yin-Bing Deng

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1016/0362-546x(91)90231-o

zbMATH Keywords

Dirichlet problemcritical pointmountain pass lemmasemilinear elliptic boundary value problemmonotone method

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items (4)

Elliptic systems of Hénon type involving one-sided critical growth ⋮ Asymmetric critical \(p\)-Laplacian problems ⋮ The Ambrosetti-Prodi problem for gradient elliptic systems with critical homogeneous nonlinearity ⋮ The critical fractional Ambrosetti-Prodi problem

Cites Work

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• Existence of solitary waves in higher dimensions
• On the ranges of certain weakly nonlinear elliptic partial differential equations
• Some existence results for superlinear elliptic boundary value problems involving critical exponents
• On the inversion of some differentiable mappings with singularities between Banach spaces
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• On the superlinear Ambrosetti-Prodi problem
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• A Perturbation Method in Critical Point Theory and Applications
• Existence of multiple positive solutions of inhomogeneous semilinear elliptic problems in unbounded domains
• On a class of superlinear elliptic problems

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