Higher differentiability for a class of obstacle problems with nearly linear growth conditions
From MaRDI portal
Publication:2039122
DOI10.4171/RLM/914zbMath1468.35069OpenAlexW3129997678MaRDI QIDQ2039122
Publication date: 2 July 2021
Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4171/rlm/914
Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87)
Related Items
Regularity for obstacle problems without structure conditions, Higher differentiability of solutions for a class of obstacle problems with variable exponents, Higher differentiability of solutions for a class of obstacle problems with non standard growth conditions
Cites Work
- Unnamed Item
- Unnamed Item
- Lipschitz continuity for energy integrals with variable exponents
- Lipschitz estimates for systems with ellipticity conditions at infinity
- Higher differentiability of solutions of elliptic systems with Sobolev coefficients: the case \(p=n=2\)
- Existence and regularity results for a class of equations with logarithmic growth
- Higher differentiability for \(n\)-harmonic systems with Sobolev coefficients
- Regularity for non-autonomous functionals with almost linear growth
- Regularity results for solutions to obstacle problems with Sobolev coefficients
- Regularity for scalar integrals without structure conditions
- Nonlinear elliptic systems with general growth
- Lipschitz regularity for some asymptotically subquadratic problems
- Regularity results for non-autonomous variational integrals with discontinuous coefficients
- On the definition and the lower semicontinuity of certain quasiconvex integrals
- Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions
- Interpretation of the Lavrentiev phenomenon by relaxation
- Regularity for minimizers of non-quadratic functionals: The case \(1<p<2\)
- On Lavrentiev's phenomenon
- A regularity theory for variational integrals with \(L\ln L\)-growth
- Variational integrals of nearly linear growth
- Full \(C^{1,\alpha}\)-regularity for free and constrained local minimizers of elliptic variational integrals with nearly linear growth
- Regularity results for a priori bounded minimizers of non-autonomous functionals with discontinuous coefficients
- Local Lipschitz continuity of minimizers with mild assumptions on the \(x\)-dependence
- Higher differentiability for solutions to a class of obstacle problems
- Relaxation of convex functionals: the gap problem
- Sharp regularity for functionals with (\(p\),\(q\)) growth
- On the regularity of minima of non-autonomous functionals
- Growth conditions and regularity for weak solutions to nonlinear elliptic pdes
- Regularity for minimizers of a class of non-autonomous functionals with sub-quadratic growth
- Regularity under general and \(p,q\)-growth conditions
- A regularity result for a class of elliptic equations with lower order terms
- Lipschitz regularity results for a class of obstacle problems with nearly linear growth
- An higher integrability result for the second derivatives of the solutions to a class of elliptic PDE's
- Higher differentiability of solutions to a class of obstacle problems under non-standard growth conditions
- A priori estimates for solutions to a class of obstacle problems under \(p, q\)-growth conditions
- Regularity results for a class of non-differentiable obstacle problems
- Absence of Lavrentiev gap for non-autonomous functionals with \((p,q)\)-growth
- Regularity of almost minimizers of quasi-convex variational integrals with subquadratic growth
- Regularity and existence of solutions of elliptic equations with p,q- growth conditions
- On Lower Semicontinuity of Integral Functionals. I
- Higher differentiability of minimizers of variational integrals with Sobolev coefficients