On existence and nonexistence of positive solutions of an elliptic system with coupled terms
From MaRDI portal
Publication:1660020
DOI10.3934/cpaa.2018083zbMath1398.35043OpenAlexW2801712827WikidataQ129845727 ScholiaQ129845727MaRDI QIDQ1660020
Publication date: 23 August 2018
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/cpaa.2018083
Second-order elliptic systems (35J47) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
Related Items
Symmetry and nonexistence of positive solutions for an elliptic system involving the Fractional Laplacian ⋮ Liouville-type theorem of positive periodic solutions for the periodic parabolic system ⋮ Nonexistence of anti-symmetric solutions for an elliptic system involving fractional Laplacian ⋮ Unnamed Item ⋮ Stable and finite Morse index solutions of a nonlinear Schrödinger system
Cites Work
- Unnamed Item
- Unnamed Item
- Sharp criteria of Liouville type for some nonlinear systems
- Asymptotic behavior of positive solutions of a nonlinear integral system
- On the classification of solutions of the Lane-Emden equation on unbounded domains of \(\mathbb R^N\)
- Classification of positive solutions for nonlinear differential and integral systems with critical exponents
- Representation formulae for solutions to some classes of higher order systems and related Liouville theorems
- Classification of solutions of some nonlinear elliptic equations
- On the regularity of positive solutions of a class of Choquard type equations
- Super polyharmonic property of solutions for PDE systems and its applications
- Singularity and decay estimates in superlinear problems via Liouville-type theorems. I: Elliptic equations and systems
- A new critical curve for the Lane-Emden system
- A monotonicity formula and a Liouville-type theorem for a fourth order supercritical problem
- Isolated singularities of solutions of quasi-linear equations
- Quasilinear Dirichlet problems driven by positive sources
- Symmetry of Components for Semilinear Elliptic Systems
- On the Best Constant for a Weighted Sobolev-Hardy Inequality
- Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
- Global and local behavior of positive solutions of nonlinear elliptic equations
- On the Cauchy Problem for Reaction-Diffusion Equations
- Asymptotics of solutions of some nonlinear elliptic systems
- Classification of solutions for an integral equation
