Extremal solutions of strongly coupled nonlinear elliptic systems and \(L^\infty\)-boundedness
DOI10.1016/j.jmaa.2022.126225zbMath1490.35143OpenAlexW4226479466MaRDI QIDQ2134438
Gil F. de Souza, Felipe Costa, Marcos Montenegro
Publication date: 3 May 2022
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.2022.126225
Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Boundary value problems for second-order elliptic systems (35J57)
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Cites Work
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- De Giorgi type results for elliptic systems
- Sharp estimates for semi-stable radial solutions of semilinear elliptic equations
- A nonlinear Krein Rutman theorem
- Regularity of the extremal solutions associated to elliptic systems
- Regularity of radial minimizers and extremal solutions of semilinear elliptic equations
- Green function for Schrödinger operator and conditioned Feynman-Kac gauge
- Uniform bounds for quotients of Green functions on \(C^{1,1}\)-domains
- Symmetry properties in systems of semilinear elliptic equations
- Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems
- Smooth geometric evolutions of hypersurfaces
- Positive solutions of convex nonlinear eigenvalue problems
- Blow up for \(u_ t- \Delta u=g(u)\) revisited
- The maximum principle and the existence of principal eigenvalues for some linear weighted boundary value problems
- Boundedness of extremal solutions in dimension 4
- A note on a nonlinear Krein-Rutman theorem
- Quasilinear Dirichlet problems driven by positive sources
- Stable solutions to semilinear elliptic equations are smooth up to dimension \(9\)
- Regularity of the Extremal Solutions in a Gelfand System Problem
- Rigidity results for stable solutions of symmetric systems
- Regularity of minimizers of semilinear elliptic problems up to dimension 4
- Sur une classe de problemes non lineaires avec non linearite positive, croissante, convexe.
- Regularity of the extremal solution of semilinear elliptic equations
- Some problems in the theory of quasilinear equations
- MINIMAL SOLUTIONS FOR A CLASS OF ELLIPTIC SYSTEMS
- Sobolev and mean‐value inequalities on generalized submanifolds of Rn
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