An elliptic system and the critical hyperbola
DOI10.3934/cpaa.2015.14.1169zbMath1314.35041OpenAlexW2331915283MaRDI QIDQ2339875
Lucas C. F. Ferreira, Marcelo Montenegro, Everaldo S. Medeiros
Publication date: 14 April 2015
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/cpaa.2015.14.1169
Smoothness and regularity of solutions to PDEs (35B65) Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Integral representations of solutions to PDEs (35C15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order elliptic systems (35J47) Symmetries, invariants, etc. in context of PDEs (35B06) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Unnamed Item
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- Unnamed Item
- Symmetry results for decay solutions of elliptic systems in the whole space
- Liouville theorems for some nonlinear inequalities
- An integral system and the Lane-Emden conjecture
- The proof of the Lane-Emden conjecture in four space dimensions
- Variational identities and applications to differential systems
- A priori estimates and existence for elliptic systems via bootstrap in weighted Lebesgue spaces
- A priori estimates and existence of positive solutions of nonlinear cooperative elliptic systems
- Symmetry of positive solutions of \(\Delta u + u^ p = 0\) in \(\mathbf R^ n\)
- Nonexistence of positive solutions of semilinear elliptic systems in \(\mathbb{R}^ N\)
- An inhomogeneous semilinear equation in entire space
- Non-existence of positive solutions of Lane-Emden systems
- Singularity and decay estimates in superlinear problems via Liouville-type theorems. I: Elliptic equations and systems
- Quantitative analysis of some system of integral equations
- A priori bounds for positive solutions of nonlinear elliptic equations
- Positive splutions of semilinear elliptic systems
- A rellich type identity and applications
- ENTIRE POSITIVE SOLUTIONS FOR INHOMOGENEOUS SEMILINEAR ELLIPTIC SYSTEMS
- Symmetry of ground states for a semilinear elliptic system