Monotonicity and symmetry of solutions of elliptic systems in general domains

DOI10.1007/BF01193947zbMath0822.35039OpenAlexW4250838981MaRDI QIDQ1346256

Djairo Guedes de Figueiredo

Publication date: 27 March 1995

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01193947

zbMATH Keywords

cooperative elliptic systemsmonotony and symmetry properties

Mathematics Subject Classification ID

Related Items (31)

Uniqueness of positive solutions for semilinear elliptic systems ⋮ Uniqueness of positive solutions for a class of Schrödinger systems with saturable nonlinearity ⋮ Harnack type estimates for nonlinear elliptic systems and applications ⋮ Nonexistence and symmetry theorems for elliptic systems in \(\mathbb{R}^ N\) ⋮ Qualitative properties and standard estimates of solutions for some fourth-order elliptic systems ⋮ Symmetry results for decay solutions of elliptic systems in the whole space ⋮ Monotonicity and symmetry of positive solutions to degenerate quasilinear elliptic systems in half-spaces and strips ⋮ Symmetry properties of positive solutions for fully nonlinear elliptic systems ⋮ Symmetric properties for system involving uniformly elliptic nonlocal operators ⋮ Existence and symmetry of least energy nodal solutions for Hamiltonian elliptic systems ⋮ Qualitative properties of blow-up solutions to some semilinear elliptic systems in non-convex domains ⋮ A symmetry result for cooperative elliptic systems with singularities ⋮ Non-cooperative Fisher–KPP systems: traveling waves and long-time behavior ⋮ Symmetry and rigidity for the hinged composite plate problem ⋮ Symmetry properties in systems of fractional Laplacian equations ⋮ Symmetry of solutions for quasimonotone second-order elliptic systems in ordered Banach spaces ⋮ Uniqueness of positive solutions to some coupled cooperative variational elliptic systems ⋮ Uniform bounds for higher-order semilinear problems in conformal dimension ⋮ Uniqueness and existence of positive solutions for, weakly coupled general sublinear systems ⋮ Symmetry of \(n\)-mode positive solutions for two-dimensional Hénon type systems ⋮ Symmetric properties of positive solutions for fully nonlinear nonlocal system ⋮ Symmetry and monotonicity properties of singular solutions to some cooperative semilinear elliptic systems involving critical nonlinearities ⋮ Symmetry results of large solutions for semilinear cooperative elliptic systems ⋮ Symmetry results for \(p\)-Laplacian systems involving a first-order term ⋮ Sectional symmetry of solutions of elliptic systems in cylindrical domains ⋮ Uniqueness of positive solutions to some Schrödinger systems ⋮ Radial symmetry for systems of fractional Laplacian ⋮ Symmetry results for semilinear elliptic systems in the whole space ⋮ A symmetry result for elliptic systems in punctured domains ⋮ Liouville type theorems, monotonicity results and a priori bounds for positive solutions of elliptic systems ⋮ Nonexistence of positive solutions for a class of semilinar elliptic systems in a ball

Cites Work

• Unnamed Item
• Symmetry and related properties via the maximum principle
• Symmetry properties in systems of semilinear elliptic equations
• Positive splutions of semilinear elliptic systems
• Elliptic Partial Differential Equations of Second Order
• On the method of moving planes and the sliding method

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