Semilinear elliptic equations in thin domains with reaction terms concentrating on boundary

DOI10.1016/j.jmaa.2016.04.011zbMath1338.35176OpenAlexW2337914227MaRDI QIDQ275312

Saulo R. M. Barros, Marcone Corrêa Pereira

Publication date: 25 April 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.04.011

zbMATH Keywords

thin domainssemilinear elliptic equationsupper semicontinuitylower semicontinuityconcentrating termssingular elliptic equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Semilinear elliptic equations (35J61)

Related Items (10)

Homogenization of an incompressible non-Newtonian flow through a thin porous medium ⋮ On the nonlinear convection-diffusion-reaction problem in a thin domain with a weak boundary absorption ⋮ The \(p\)-Laplacian equation in a rough thin domain with terms concentrating on the boundary ⋮ Semilinear elliptic equations in thin regions with terms concentrating on oscillatory boundaries ⋮ Nonlocal evolution problems in thin domains ⋮ Fractional problems in thin domains ⋮ Nonlocal problems in thin domains ⋮ Semigroup-theoretic approach to diffusion in thin layers separated by semi-permeable membranes ⋮ A classical approach for the \(p\)-Laplacian in oscillating thin domains ⋮ Robin-type boundary conditions in transition from reaction-diffusion equations in 3D domains to equations in 2D domains

Cites Work

• Unnamed Item
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• Asymptotic behavior of a parabolic problem with terms concentrated in the boundary
• Attractors for a nonlinear parabolic problem with terms concentrating on the boundary
• The Neumann problem in thin domains with very highly oscillatory boundaries
• Singular limit for a nonlinear parabolic equation with terms concentrating on the boundary
• Semilinear parabolic problems in thin domains with a highly oscillatory boundary
• Homogenization in a thin domain with an oscillatory boundary
• Identification and simulation of a spatial ecological model in a lake with fractal boundary
• Concentration of least-energy solutions to a semilinear Neumann problem in thin domains
• Flux terms and Robin boundary conditions as limit of reactions and potentials concentrating at the boundary
• The FENE model for viscoelastic thin film flows
• Reaction-diffusion equation on thin domains
• Error estimates for a Neumann problem in highly oscillating thin domains
• Behavior of the \(p\)-Laplacian on thin domains
• Parabolic problems in highly oscillating thin domains
• Propagation of CaMKII translocation waves in heterogeneous spiny dendrites
• Remarks on semilinear parabolic systems with terms concentrating in the boundary
• Junction of a periodic family of elastic rods with a thin plate. II.
• Continuity of attractors for net-shaped thin domains
• Elliptic problems in thin domains with highly oscillating boundaries
• A nonlinear elliptic problem with terms concentrating in the boundary
• Correctors for the Neumann problem in thin domains with locally periodic oscillatory structure
• Asymptotic behaviour of solutions of lubrication problem in a thin domain with a rough boundary and Tresca fluid-solid interface law
• HIGHLY OSCILLATING BOUNDARIES AND REDUCTION OF DIMENSION: THE CRITICAL CASE
• Approximative methods for nonlinear equations (two approaches to the convergence problem)
• Curved thin domains and parabolic equations
• Asymptotic analysis of boundary value and spectral problems in thin perforated regions with rapidly changing thickness and different limiting dimensions
• RAPIDLY VARYING BOUNDARIES IN EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS: THE CASE OF A LIPSCHITZ DEFORMATION
• The effect of domain squeezing upon the dynamics of reaction-diffusion equations

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