Existence and regularity estimates for quasilinear equations with measure data: the case \(1 < p \leq (3n-2)/(2n-1)\)
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Publication:2688989
DOI10.2140/apde.2022.15.1879OpenAlexW4319970162MaRDI QIDQ2688989
Publication date: 6 March 2023
Published in: Analysis \& PDE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.03725
capacitymeasure dataquasilinear equationweighted norm inequalitygood-\(\lambda\) inequalityRiccati-type equationMuckenhoupt-Wheeden-type inequality
Nonlinear elliptic equations (35J60) Semilinear elliptic equations (35J61) Quasilinear elliptic equations (35J62) Singular elliptic equations (35J75) Harmonic analysis and PDEs (42B37)
Related Items (4)
Gradient estimates of general nonlinear singular elliptic equations with measure data ⋮ Potential Estimates and Quasilinear Parabolic Equations with Measure Data ⋮ Calderón–Zygmund type estimates for singular quasilinear elliptic obstacle problems with measure data ⋮ A comparison estimate for singular \(p\)-Laplace equations and its consequences
Cites Work
- Unnamed Item
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- Universal potential estimates
- Gradient estimates via linear and nonlinear potentials
- Weighted and regularity estimates for nonlinear equations on Reifenberg flat domains
- Solution of the Plateau problem for \(m\)-dimensional surfaces of varying topological type
- Gradient estimates below the duality exponent
- Quasilinear Riccati type equations with distributional data in Morrey space framework
- Elliptic equations with BMO nonlinearity in Reifenberg domains
- On the closable parts of pre-Dirichlet forms and the fine supports of underlying measures
- Criteria of solvability for multidimensional Riccati equations
- Orlicz spaces for which the Hardy-Littlewood maximal operator is bounded
- Existence and uniqueness of entropy solutions for nonlinear elliptic equations with measure data
- Good-\(\lambda \) and Muckenhoupt-Wheeden type bounds in quasilinear measure datum problems, with applications
- Nonlinear Muckenhoupt-Wheeden type bounds on Reifenberg flat domains, with applications to quasilinear Riccati type equations
- Quasilinear Riccati Type Equations with Super-Critical Exponents
- Gradient estimates via non-linear potentials
- Functions of Vanishing Mean Oscillation
- Weighted Orlicz space integral inequalities for the Hardy-Littlewood maximal operator
- Remarks on some quasilinear equations with gradient terms and measure data
- Global estimates for quasilinear parabolic equations on Reifenberg flat domains and its applications to Riccati type parabolic equations with distributional data
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