Higher order weighted Sobolev spaces on the real line for strongly degenerate weights. Application to variational problems in elasticity of beams
DOI10.1016/j.jmaa.2020.124038zbMath1451.46032arXiv1905.13482OpenAlexW3011838371MaRDI QIDQ2310489
Publication date: 6 April 2020
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.13482
weighted Sobolev spaceduality theorydegenerate weightselasticity of beamsSobolev spaces with respect to measure
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) PDEs in connection with mechanics of deformable solids (35Q74)
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Cites Work
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- Some results on Sobolev spaces with respect to a measure and applications to a new transport problem
- Optimality conditions for mass design problems and applications to thin plates
- Second-order energies on thin structures: Variational theory and non-local effects
- A stationary heat conduction problem in low dimensional sets in \({\mathbb{R}}^N\)
- Integrals which are convex functionals
- Energies with respect to a measure and applications to low dimensional structures
- ON THE ABSOLUTE MINIMUM WEIGHT DESIGN OF FRAMED STRUCTURES
- Necessary and sufficient conditions for imbeddings in weighted Sobolev spaces
- MICHELL TRUSSES AND LINES OF PRINCIPAL ACTION
- Weighted Sobolev spaces and embedding theorems
- On some notions of tangent space to a measure
- Sobolev met Poincaré
- Sharp conditions for 1-dimensional weighted Poincare inequalities
- Weighted Sobolev Spaces and Degenerate Elliptic Equations
- H = W
- Characterization of optimal shapes and masses through Monge-Kantorovich equation
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