Nonlinear biharmonic equation in half-space with rough Neumann boundary data and potentials
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Publication:2057917
DOI10.1016/j.na.2021.112623zbMath1480.35242OpenAlexW3210177490MaRDI QIDQ2057917
Publication date: 7 December 2021
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2021.112623
Nonlinear boundary value problems for linear elliptic equations (35J65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Positive solutions to PDEs (35B09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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Cites Work
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- Classification theorems for solutions of higher order boundary conformally invariant problems. I.
- On the Laplace equation with a supercritical nonlinear Robin boundary condition in the half-space
- Restricting Riesz-Morrey-Hardy potentials
- On the heat equation with nonlinearity and singular anisotropic potential on the boundary
- On a bilinear estimate in weak-Morrey spaces and uniqueness for Navier-Stokes equations
- Very weak solutions to elliptic equations with nonlinear Neumann boundary conditions
- Representation formulae for solutions to some classes of higher order systems and related Liouville theorems
- Mean value formulas, Weyl's lemma and Liouville theorems for \(\Delta^ 2\) and Stokes' system
- A note on Riesz potentials
- A Fourier approach for nonlinear equations with singular data
- Non-existence of positive solutions to nonlocal Lane-Emden equations
- Convolution operators and L(p, q) spaces
- An Introduction to the Regularity Theory for Elliptic Systems, Harmonic Maps and Minimal Graphs
- A semilinear heat equation with a localized nonlinear source and non-continuous initial data
- Classical Fourier Analysis
- Morrey Space
- Weak Morrey spaces with applications
- On the loss of maximum principles for higher-order fractional Laplacians
- Fractional Integration, morrey spaces and a schrödinger equation
- Sharp Hardy–Littlewood–Sobolev Inequality on the Upper Half Space
- An Extension Problem Related to the Fractional Laplacian
