Local and global norm comparison theorems for solutions to the nonhomogeneous A-harmonic equation
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Publication:2642185
DOI10.1016/j.jmaa.2007.02.048zbMath1124.31004OpenAlexW2051935463MaRDI QIDQ2642185
Publication date: 20 August 2007
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.2007.02.048
Elliptic equations on manifolds, general theory (58J05) Differential forms in global analysis (58A10) Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Potential theory on Riemannian manifolds and other spaces (31C12)
Related Items (10)
Carathéodory operator of differential forms ⋮ Estimates for the composition of the Carathéodory and homotopy operators ⋮ Inequalities for integral operators in Hölder-Morrey spaces on differential forms ⋮ Some properties of solutions to a class of Dirichlet boundary value problems ⋮ Integral estimates for the Laplace-Beltrami and Green's operators applied to differential forms on manifolds ⋮ Hardy-Littlewood and Caccioppoli-type inequalities for \(A\)-harmonic tensors ⋮ Some priori estimates about solutions to nonhomogeneous \(A\)-harmonic equations ⋮ The obstacle problem for the \(A\)-harmonic equation ⋮ The reverse Hölder inequality for the solution to \(p\)-harmonic type system ⋮ Weighted norm inequalities for solutions to the nonhomogeneous \(A\)-harmonic equation
Cites Work
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- Advances in differential forms and the \(A\)-harmonic equation
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- Hardy-Littlewood theorems for \(A\)-harmonic tensors
- Integral estimates for null Lagrangians
- Differential forms and applications. Transl. from the Portuguese
- \(A_r (\lambda)\)-weighted integral inequalities for \(A\)-harmonic tensors
- \(A_{r} (\lambda)\)-weighted Caccioppoli-type and Poincaré-type inequalities for \(A\)-harmonic tensors
- Weighted Poincaré inequalities for solutions to \(A\)-harmonic equations.
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- Weighted integral inequalities for solutions of the \(A\)-harmonic equation
- Weighted Poincaré-type estimates for conjugate \(A\)-harmonic tensors
- Harmonic tensors on Riemannian manifolds with boundary
- General relativity and cosmology
- Weighted Hardy-Littlewood inequality for 𝐴-harmonic tensors
- On weakly A-harmonic tensors
- Parametric weighted integral inequalities for \(A\)-harmonic tensors
- Weighted imbedding theorems in the space of differential forms
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