Symmetry results for decay solutions of elliptic systems in the whole space

DOI10.1016/j.aim.2010.05.022zbMath1202.35080OpenAlexW2074826453MaRDI QIDQ607338

Li Ma, Baiyu Liu

Publication date: 22 November 2010

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2010.05.022

zbMATH Keywords

positive solutionselliptic systemradially symmetricmoving planes

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Quantum optics (81V80) Schrödinger operator, Schrödinger equation (35J10) Semilinear elliptic equations (35J61) Second-order elliptic systems (35J47)

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Radial symmetry results for fractional Laplacian systems, Liouville-type theorem for a nonlocal operator on the half plane, Unnamed Item, A Liouville type theorem for poly-harmonic Dirichlet problems in a half space, Monotonicity and radial symmetry results for Schrödinger systems with fractional diffusion, Monotonicity and symmetry of fractional Lane–Emden-type equation in the parabolic domain, Symmetry results for Serrin-type problems in doubly connected domains, The bifurcation and exact travelling wave solutions of \((1 + 2)\)-dimensional nonlinear Schrödinger equation with dual-power law nonlinearity, Super poly-harmonic property of solutions for Navier boundary problems on a half space, Symmetry properties in systems of fractional Laplacian equations, Uniqueness of positive solutions to some coupled cooperative variational elliptic systems, An integral equation involving Bessel potentials on half space, Unnamed Item, Liouville theorems and classification results for a nonlocal Schrödinger equation, Positive solutions to nonlinear systems involving fully nonlinear fractional operators, Synchronized vector solutions to an elliptic system, Radial symmetry for systems of fractional Laplacian, Symmetry results for decay solutions of semilinear elliptic systems on half spaces, Decay estimates and symmetry of finite energy solutions to elliptic systems in \mathbb{R}^n, An elliptic system and the critical hyperbola

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