The absence of solutions of elliptic systems with dynamic boundary conditions

DOI10.1023/A:1020358228313zbMath1290.35119MaRDI QIDQ1874963

Mukhtar Bin Muhammad Kirane, Eric Nabana, Pohozaev, Stanislav I.

Publication date: 25 May 2003

Published in: Differential Equations (Search for Journal in Brave)

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Boundary value problems for nonlinear higher-order PDEs (35G30) Boundary value problems for higher-order elliptic systems (35J58)

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Minimal solutions of a semilinear elliptic equation with a dynamical boundary condition ⋮ Blow-up of solutions of strongly nonlinear equations of pseudoparabolic type ⋮ An exterior nonlinear elliptic problem with a dynamical boundary condition ⋮ Controlled boundary explosions: dynamics after blow-up for some semilinear problems with global controls ⋮ The large diffusion limit for the heat equation with a dynamical boundary condition ⋮ On a dynamic boundary condition for singular degenerate parabolic equations in a half space ⋮ Stanislav Ivanovich Pokhozhaev (a tribute in honor of his seventieth birthday) ⋮ An exterior parabolic differential inequality under semilinear dynamical boundary conditions ⋮ Existence of positive solutions of a semilinear elliptic equation with a dynamical boundary condition

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