Lavrentiev gap for some classes of generalized Orlicz functions

DOI10.1016/J.NA.2021.112329zbMath1487.46027arXiv2010.03264OpenAlexW3134851873MaRDI QIDQ2019317

Anna Kh. Balci, Mikhail D. Surnachev

Publication date: 20 April 2021

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.03264

zbMATH Keywords

nonlinear elliptic equationsLavrentiev phenomenondouble phase potentialgeneralized Orlicz functions

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear elliptic equations (35J60) Regularity of solutions in optimal control (49N60)

Related Items (8)

Crouzeix-Raviart finite element method for non-autonomous variational problems with Lavrentiev gap ⋮ On a range of exponents for absence of Lavrentiev phenomenon for double phase functionals ⋮ Boundedness of solutions to Dirichlet, Neumann and Robin problems for elliptic equations in Orlicz spaces ⋮ Absence and presence of Lavrentiev's phenomenon for double phase functionals upon every choice of exponents ⋮ The Lavrentiev phenomenon in calculus of variations with differential forms ⋮ Recent developments in problems with nonstandard growth and nonuniform ellipticity ⋮ Modular density of smooth functions in inhomogeneous and fully anisotropic Musielak-Orlicz-Sobolev spaces ⋮ Local Lipschitz continuity for \(p, q\)-PDEs with explicit \(u\)-dependence

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