Regularity results for solutions of nonlinear elliptic equations with \(L^{1,\lambda }\) data
From MaRDI portal
Publication:929652
DOI10.1016/j.na.2007.05.014zbMath1187.35068OpenAlexW2036530160WikidataQ126258831 ScholiaQ126258831MaRDI QIDQ929652
Giuseppa Rita Cirmi, Salvatore Leonardi
Publication date: 18 June 2008
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.2007.05.014
Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60)
Related Items (18)
Morrey estimates for some classes of elliptic equations with a lower order term ⋮ Fractional differentiability for solutions of a class of parabolic systems with \(L^{1,\theta}\)-data ⋮ Smallness and cancellation in some elliptic systems with measure data ⋮ Existence of Hölder continuous solutions for a class of degenerate fourth-order elliptic equations ⋮ Morrey estimates for a class of elliptic equations with drift term ⋮ Morrey estimates for solutions of singular quadratic nonlinear equations ⋮ Regularity results for solutions of a class of parabolic systems with measure data ⋮ Existence of solutions to some quasilinear degenerate elliptic systems with right hand side in a Marcinkiewicz space ⋮ Higher differentiability for the solutions of nonlinear elliptic systems with lower-order terms and \(L^{1,\theta}\)-data ⋮ Construction of solutions to parabolic and hyperbolic initial–boundary value problems ⋮ Morrey estimates for a class of noncoercive elliptic systems with VMO-coefficients ⋮ Bounded solutions of fourth-order nonlinear elliptic equations with convection terms ⋮ Gradient estimates below duality exponent for a class of linear elliptic systems ⋮ On the existence of weak solutions to a class of nonlinear elliptic systems with drift term ⋮ On the existence of weak solutions to a class of nonlinear elliptic systems with drift term ⋮ Regularity up to the boundary for the gradient of solutions of linear elliptic systems withVMO-coefficients andL1,λdata ⋮ Hölder continuity up to the boundary of solutions to nonlinear fourth-order elliptic equations with natural growth terms ⋮ Maximal integrability for general elliptic problems with diffusive measures
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Regularity results for the gradient of solutions linear elliptic equations with \(L^{1,\lambda}\) data
- Comparison results for elliptic and parabolic equations via Schwarz symmetrization
- Equivalence between the growth of \(\int_{b(x,r)}| \nabla u| ^ pdy\) and T in the equation \(P[u=T\)]
- Nonlinear elliptic and parabolic equations involving measure data
- Nonlinear elliptic equations, rearrangements of functions and Orlicz spaces
- Poisson equations and Morrey spaces
- Hölder continuity of solutions to quasilinear elliptic equations involving measures
- Nonlinear elliptic equations with measure data
- On the integrability of solutions of nonlinear elliptic equations with right-hand sides in classes close to \(L^ 1\).
- Thin sets in nonlinear potential theory
- Solvability of Dirichlet problem for a class of degenerate nonlinear high-order equations with \(L^1\)-data.
- Equazioni ellittiche del II\(^ \circ\) ordine e spazi \({\mathcal L}^{(2,\lambda)}\)
- Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
- Linear and quasilinear elliptic equations
- Proprieta di inclusione per spazi di Morrey
- Nonlinear Elliptic Equations with Right Hand Side Measures
- Quelques résultats de Višik sur les problèmes elliptiques non linéaires par les méthodes de Minty-Browder
- Equivalent Norms for Sobolev Spaces
This page was built for publication: Regularity results for solutions of nonlinear elliptic equations with \(L^{1,\lambda }\) data
