Nonnegative solutions of elliptic problems with sublinear indefinite nonlinearity
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Publication:647581
DOI10.1016/j.jfa.2011.07.002zbMath1235.35124OpenAlexW2083191342MaRDI QIDQ647581
Publication date: 24 November 2011
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfa.2011.07.002
Singular perturbations in context of PDEs (35B25) Nonlinear elliptic equations (35J60) Positive solutions to PDEs (35B09)
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Cites Work
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- A general mountain pass principle for locating and classifying critical points
- Multiple positive solutions for quasilinear problems with indefinite sublinear nonlinearity
- Existence and uniqueness of solutions of nonlinear Neumann problems
- Superlinear indefinite elliptic problems and Pohozyaev type identities
- On semilinear elliptic equations with indefinite nonlinearities
- Combined effects of concave and convex nonlinearities in some elliptic problems
- Semilinear elliptic equations with sublinear indefinite nonlinearities
- On the Morse critical groups for indefinite sublinear elliptic problems
- Solutions to semilinear elliptic problems with combined nonlinearities
- Local superlinearity and sublinearity for indefinite semilinear elliptic problems.
- Solutions of elliptic equations with indefinite nonlinearities via Morse theory and linking
- Local ``superlinearity and ``sublinearity for the \(p\)-Laplacian
- Multiplicity results for a family of semilinear elliptic problems under local superlinearity and sublinearity
- NONNEGATIVE SOLUTIONS FOR INDEFINITE SUBLINEAR ELLIPTIC PROBLEMS
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- Multiplicity of Solutions for Elliptic Problems with Critical Exponent or with a Nonsymmetric Term
- On the existence of dead cores for degenerate Lotka—Volterra models