Hölder continuity up to the boundary of solutions to nonlinear fourth-order elliptic equations with natural growth terms
From MaRDI portal
Publication:5233731
DOI10.7153/dea-2019-11-03zbMath1423.35053OpenAlexW2911588024MaRDI QIDQ5233731
Mykhailo V. Voitovych, Salvatore Bonafede
Publication date: 12 September 2019
Published in: Differential Equations & Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.7153/dea-2019-11-03
Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for higher-order elliptic equations (35J40) A priori estimates in context of PDEs (35B45) Quasilinear elliptic equations (35J62)
Related Items (2)
\( {\mathfrak{B}}_1\) classes of De Giorgi, Ladyzhenskaya, and Ural'tseva and their application to elliptic and parabolic equations with nonstandard growth ⋮ On the generalized \(\mathfrak{U}_{m, p}^f\) classes of De Giorgi-ladyzhenskaya-ural'tseva and pointwise estimates of solutions to high-order elliptic equations via Wolff potentials
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
- On the existence of bounded generalized solutions of the Dirichlet problem for a class of nonlinear high-order elliptic equations
- Regularity results for the gradient of solutions of a class of linear elliptic systems with \(L^{1,\lambda }\) data
- Regularity results for solutions of nonlinear elliptic equations with \(L^{1,\lambda }\) data
- Regularity of minimizers of some integral functionals with degenerate integrands
- Réarrangement relatif dans les équations elliptiques quasi- linéaires avec un second membre distribution: Application à un théorème d'existence et de régularité. (Relative rearrangement in quasilinear elliptic equations with distributional right side: Application to an existence theorem and to regularity)
- Behavior at the boundary of solutions of quasilinear elliptic equations
- A regularity condition at the boundary for solutions of quasilinear elliptic equations
- Existence of bounded solutions for non linear elliptic unilateral problems
- The Wiener test and potential estimates for quasilinear elliptic equations
- On regularity up to the boundary of solutions to degenerate nonlinear elliptic high-order equations
- Hölder regularity of the solutions of some classes of elliptic systems in convex nonsmooth domains
- Morrey estimates for solutions of singular quadratic nonlinear equations
- Higher differentiability for the solutions of nonlinear elliptic systems with lower-order terms and \(L^{1,\theta}\)-data
- On the sets of regularity of solutions for a class of degenerate nonlinear elliptic fourth-order equations with \(L^1\) data
- Hölder continuity up to the boundary of minimizers for some integral functionals with degenerate integrands
- Nonlinear elliptic equations with lower order terms and \(L^{1,\lambda }\)-data
- Degenerate nonlinear higher-order elliptic problems in domains with fine-grained boundary
- Fourth-order nonlinear elliptic equations with lower order term and natural growth conditions
- Linear and quasilinear elliptic equations
- Higher differentiability for solutions of linear elliptic systems with measure data
- Existence of bounded solutions for a class of nonlinear fourth-order equations
- Gradient estimate for solutions of nonlinear singular elliptic equations below the duality exponent
- On functions of bounded mean oscillation
- On regularity up to the boundary of solutions to a system of degenerate nonlinear elliptic fourth-order equations
- On removability of the isolated singularity for solutions of high-order elliptic equations
- $L^\infty $ Estimate for Some Nonlinear Elliptic Partial Differential Equations and Application to an Existence Result
- Entropy solutions of the Dirichlet problem for a class of non-linear elliptic fourth-order equations with right-hand sides in $ L^1$
- Hölder continuity of bounded generalized solutions for some degenerated quasilinear elliptic equations with natural growth terms
- On Harnack inequality for degenerate nonlinear higher-order elliptic equations
This page was built for publication: Hölder continuity up to the boundary of solutions to nonlinear fourth-order elliptic equations with natural growth terms
