An \(H^S\)-regularity result for the gradient of solutions to elliptic equations with mixed boundary conditions
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Publication:1125301
DOI10.1006/jmaa.1999.6518zbMath0938.35050OpenAlexW2068292758MaRDI QIDQ1125301
Publication date: 14 February 2000
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jmaa.1999.6518
Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) PDEs with low regular coefficients and/or low regular data (35R05) Second-order elliptic equations (35J15)
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Cites Work
- Unnamed Item
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- Optimal Hölder regularity for mixed boundary value problems
- On the basic equations for carrier transport in semiconductors
- A \(W^{1,p}\)-estimate for solutions to mixed boundary value problems for second order elliptic differential equations
- Second order elliptic equations with mixed boundary conditions
- Uniqueness and regularity for the two-dimensional drift-diffusion model for semiconductors coupled with Maxwell's equations
- Existence of weak solutions of the drift diffusion model coupled with Maxwell's equations
- Regularization of mixed second-order elliptic problems
- Generic properties of nonlinear boundary value problems
- On Solutions of Elliptic Equations Satisfying Mixed Boundary Conditions
- Equivalent Norms for Sobolev Spaces
