A note on the existence of positive solutions for a fourth-order semilinear elliptic system
DOI10.1007/S10114-010-8042-6zbMath1200.35096OpenAlexW2076449102MaRDI QIDQ1956497
Publication date: 22 September 2010
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-010-8042-6
Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for elliptic systems (35J50) A priori estimates in context of PDEs (35B45) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53) Higher-order elliptic systems (35J48)
Cites Work
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- A priori estimates and existence of positive solutions of semilinear elliptic equations
- Estimates and extremals for zeta function determinants on four-manifolds
- A classification of solutions of a conformally invariant fourth order equation in \(\mathbb{R}^n\)
- On a semilinear elliptic system
- On positive entire solutions to a class of equations with a singular coefficient and critical exponent
- Liouville type theorems, monotonicity results and a priori bounds for positive solutions of elliptic systems
- Liouville-type theorems for polyharmonic equations in $\mathbb{R}^N$ and in $\mathbb{R}^N_+$
- A priori bounds for positive solutions of nonlinear elliptic equations
- Positive splutions of semilinear elliptic systems
- Department of technical mathematics and informatics university of technology
- On Superquadratic Elliptic Systems
- Uniqueness theorem for the entire positive solutions of biharmonic equations in Rn
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