Two-weight Caccioppoli inequalities for solutions of nonhomogeneous 𝐴-harmonic equations on Riemannian manifolds
From MaRDI portal
Publication:4813649
DOI10.1090/S0002-9939-04-07347-2zbMath1127.35021WikidataQ115290148 ScholiaQ115290148MaRDI QIDQ4813649
Publication date: 13 August 2004
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Differential forms in global analysis (58A10) Other generalizations (nonlinear potential theory, etc.) (31C45)
Related Items (43)
Embedding theorems for composition of homotopy and projection operators ⋮ A note on the Caccioppoli inequality for biharmonic operators ⋮ Orlicz Norm Inequalities for Conjugate Harmonic Forms ⋮ Higher integrability of Green's operator and homotopy operator ⋮ Higher integrability of iterated operators on differential forms ⋮ Green’s Operator and Differential Forms ⋮ Singular integrals of the compositions of Laplace-Beltrami and Green's operators ⋮ Inequalities for Green's operator applied to the minimizers ⋮ The integral estimate with Orlicz norm in \(L^{\phi(x)}\)-averaging domain ⋮ Carathéodory operator of differential forms ⋮ Some Orlicz norms inequalities for the composite operator \(T \circ d \circ H\) ⋮ \(A_r^{\lambda_3}(\lambda_1,\lambda_2,\Omega )\)-weighted inequalities with Lipschitz and BMO norms ⋮ Estimates for the composition of the Carathéodory and homotopy operators ⋮ Imbedding Inequalities for Composition of Green’s and Potential Operators ⋮ Inequalities for integral operators in Hölder-Morrey spaces on differential forms ⋮ Inequalities for commutators of fractional integrals and singular integrals on differential forms ⋮ Lipschitz and BMO norm inequalities for operators ⋮ Imbedding theorems in Orlicz-Sobolev space of differential forms ⋮ Norm comparison estimates for the composite operator ⋮ The existence of solutions to the nonhomogeneous \(A\)-harmonic equations with variable exponent ⋮ Recent advances in \(L^p\)-theory of homotopy operator on differential forms ⋮ Weighted Hardy-Littlewood theorems for conjugate \(A\)-harmonic tensors ⋮ On the truncated operator trigonometric moment problem ⋮ Commutators of operators in Musielak-Orlicz-Morrey spaces on differential forms ⋮ Advances in study of Poincaré inequalities and related operators ⋮ Imbedding inequalities with \(L{\varphi}\)-norms for composite operators ⋮ The higher integrability of commutators of Calderón-Zygmund singular integral operators on differential forms ⋮ Poincaré inequalities with Luxemburg norms in \(L^{\varphi}(m)\)-averaging domains ⋮ Poincaré-type inequalities for the homotopy operator with \(L^{\varphi }(\varOmega )\)-norms ⋮ Norms of the composition of the maximal and projection operators ⋮ \(L(\varphi ,\mu )\)-averaging domains and Poincaré inequalities with Orlicz norms ⋮ Some priori estimates about solutions to nonhomogeneous \(A\)-harmonic equations ⋮ Global Caccioppoli-type and Poincaré inequalities with Orlicz norms ⋮ The obstacle problem for the \(A\)-harmonic equation ⋮ Norm inequalities for composition of the Dirac and Green's operators ⋮ Inequalities for Green's operator with Lipschitz and BMO norms ⋮ Poincaré inequalities with the Radon measure for differential forms ⋮ Integral Estimates for the Composition of Green’s and Bounded Operators ⋮ A singular integral of the composite operator ⋮ Some Caccioppoli estimates for differential forms ⋮ Weighted norm inequalities for solutions to the nonhomogeneous \(A\)-harmonic equation ⋮ BMO and Lipschitz norm estimates for composite operators ⋮ On entropy bumps for Calderón-Zygmund operators
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Weighted Poincaré-type inequalities for differential forms in \(L^s(\mu)\)-averaging domains
- \(A_r (\lambda)\)-weighted integral inequalities for \(A\)-harmonic tensors
- Global integrability theorems for \(A\)-harmonic tensors
- Quasiregular mappings in even dimensions
- Weighted integral inequalities for solutions of the \(A\)-harmonic equation
- Caccioppoli's inequality and Legendre-Hadamard condition
- Inserting A p -Weights
- Caccioppoli's inequality for quasilinear elliptic operators
- Weighted Caccioppoli-type estimates and weak reverse Hölder inequalities for 𝐴-harmonic tensors
- Two-weight norm inequalities for maximal operators and fractional integrals on non-homogenous spaces
- A Caccioppoli inequality and partial regularity in the calculus of variations
- Two-weight, weak-type norm inequalities for fractional integrals, Calderon-Zygmund operators
This page was built for publication: Two-weight Caccioppoli inequalities for solutions of nonhomogeneous 𝐴-harmonic equations on Riemannian manifolds