A compactness result for elliptic equations with subquadratic growth in perforated domains
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Publication:4264301
DOI10.1016/S0362-546X(97)00486-0zbMath0988.35060MaRDI QIDQ4264301
Antonio Gaudiello, Giuseppe Cardone, Patrizia Donato
Publication date: 16 July 2002
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear boundary value problems for linear elliptic equations (35J65)
Related Items (4)
Spectral problem in a domain perforated along the boundary. Perturbation of a multiple eigenvalue ⋮ Homogenization of nonlinear degenerate non-monotone elliptic operators in domains perforated with tiny holes ⋮ H-convergence of a class of quasilinear equations in perforated domains beyond periodic setting ⋮ \(\Sigma \)-convergence of nonlinear monotone operators in perforated domains with holes of small size.
Cites Work
- Homogenization in open sets with holes
- Non-homogeneous media and vibration theory
- \(H\) convergence for quasi-linear elliptic equations with quadratic growth
- An introduction to \(\Gamma\)-convergence
- Some properties of higher order Sobolev spaces
- Homogenization of quasi-linear equations with natural growth terms
- Strongly nonlinear problems with gradient dependent lower order nonlinearity
- Non-homogeneous Neumann problems in domains with small holes
- Asymptotic behaviour of quasi-linear problems with neumann boundary conditions on perforated domains
- $L^\infty $ Estimate for Some Nonlinear Elliptic Partial Differential Equations and Application to an Existence Result
- Topics in the mathematical modelling of composite materials
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