Some remarks on half space problems

DOI10.3934/DCDS.2009.25.83zbMath1178.35177OpenAlexW2053493715MaRDI QIDQ841360

E. Norman Dancer

Publication date: 16 September 2009

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2009.25.83

zbMATH Keywords

elliptic problemshalf spacemoving planes

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Variational methods for second-order elliptic equations (35J20)

Related Items (16)

Some results about semilinear elliptic problems on half-spaces ⋮ Nonnegative solutions of semilinear elliptic equations in half-spaces ⋮ On the number of stable positive solutions of weakly nonlinear elliptic equations when the diffusion is small ⋮ On fractional elliptic equations in Lipschitz sets and epigraphs: regularity, monotonicity and rigidity results ⋮ Monotonicity of solutions of quasilinear degenerate elliptic equation in half-spaces ⋮ Symmetry and uniqueness of nonnegative solutions of some problems in the halfspace ⋮ Shear Flows of an Ideal Fluid and Elliptic Equations in Unbounded Domains ⋮ Monotonicity of solutions of fully nonlinear uniformly elliptic equations in the half-plane ⋮ Monotonicity and nonexistence results to cooperative systems in the half space ⋮ Monotonicity and one-dimensional symmetry for solutions of \(-\Delta_{p}u = f(u)\) in half-spaces ⋮ New Results for Finite Morse Index Solutions on ℝ^N and applications ⋮ Monotonicity of Positive Solutions to − Δp u + a(u)|∇u|q = f(u) in the Half-Plane in the Case $$p\leqslant 2$$ ⋮ Qualitative properties and classification of nonnegative solutions to \(-\Delta u=f(u)\) in unbounded domains when \(f(0) < 0\) ⋮ Monotonicity and symmetry of nonnegative solutions to \(-\Delta u=f(u)\) in half-planes and strips ⋮ Monotonicity of solutions to quasilinear problems with a first-order term in half-spaces ⋮ Second order estimate on transition layers

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