Gradient estimates for semilinear elliptic systems and other related results

DOI10.1017/S0308210515000347zbMath1341.35042arXiv1401.4847OpenAlexW2963452955MaRDI QIDQ5744599

Panayotis Smyrnelis

Publication date: 18 February 2016

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.4847

zbMATH Keywords

Liouville theoremgradient estimatesstress-energy tensormonotonicity formulaModica's estimateentire solutions to elliptic systems

Mathematics Subject Classification ID

Semilinear elliptic equations (35J61) Second-order elliptic systems (35J47) Entire solutions to PDEs (35B08) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (9)

Some remarks on energy inequalities for harmonic maps with potential ⋮ Unnamed Item ⋮ A relation of the Allen-Cahn equations and the Euler equations and applications of the equipartition ⋮ Some remarks on the structure of finite Morse index solutions to the Allen-Cahn equation in \({\mathbb R}^2\) ⋮ Entire minimizers of Allen-Cahn systems with sub-quadratic potentials ⋮ Unnamed Item ⋮ Minimal heteroclinics for a class of fourth order O.D.E. systems ⋮ On the growth of the energy of entire solutions to the vector Allen-Cahn equation ⋮ Monotonicity formulae for smooth extremizers of integral functionals

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