Regularity results for generalized double phase functionals
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Publication:2210873
DOI10.2140/apde.2020.13.1269zbMath1477.49057OpenAlexW3046155074MaRDI QIDQ2210873
Publication date: 9 November 2020
Published in: Analysis \& PDE (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2140/apde.2020.13.1269
Smoothness and regularity of solutions to PDEs (35B65) Regularity of solutions in optimal control (49N60) Variational methods for second-order elliptic equations (35J20)
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Cites Work
- Unnamed Item
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- Unnamed Item
- Gradient estimates for elliptic equations with \(L^{p(\cdot )}\log L\) growth
- An imbedding theorem for Musielak-Sobolev spaces
- Local boundedness of minimizers with limit growth conditions
- Bounded minimisers of double phase variational integrals
- Regularity of minimizers under limit growth conditions
- Hölder regularity of quasiminimizers under generalized growth conditions
- Orlicz spaces and modular spaces
- Regularity of relaxed minimizers of quasiconvex variational integrals with \((p, q)\)-growth
- Harnack's inequality for quasiminimizers with nonstandard growth conditions
- Uniform convexity of Musielak-Orlicz-Sobolev spaces and applications
- 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
- On Lavrentiev's phenomenon
- On some variational problems
- Regularity for minimizers of functionals with \(p-q\) growth
- Regularity results for vectorial minimizers of a class of degenerate convex integrals
- Regularity for general functionals with double phase
- Sharp regularity for functionals with (\(p\),\(q\)) growth
- Scalar minimizers with fractal singular sets
- Regularity for double phase variational problems
- Harnack inequalities for double phase functionals
- New regularity theorems for non-autonomous variational integrals with \((p,q)\)-growth
- Editorial statement
- Regularity of minimizers of \(W^{1,p}\)-quasiconvex variational integrals with \((p,q)\)-growth
- Maximal functions on Musielak--Orlicz spaces and generalized Lebesgue spaces
- Generalized Orlicz spaces and related PDE
- Regularity and existence of solutions of elliptic equations with p,q- growth conditions
- Regularity results for minimizers of irregular integrals with (p,q) growth
- Higher integrability of the gradient of minimizers of functional with nonstandard growth conditions
- The natural generalizationj of the natural conditions of ladyzhenskaya and uralľtseva for elliptic equations
- On the Lipschitz regularity for certain elliptic problems
- Regularity of quasi-minimizers on metric spaces
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