Regularity for minimizers for functionals of double phase with variable exponents

MA Ragusa, A Tachikawa - Advances in Nonlinear Analysis, 2019 - degruyter.com
The functionals of double phase type H (u):=∫| D u| p+ a (x)| D u| qdx,(q> p> 1, a (x)≥ 0) are
introduced in the epoch-making paper by Colombo-Mingione for constants p and q, and …

[图书][B] Generalized Orlicz Spaces

P Harjulehto, P Hästö, P Harjulehto, P Hästö - 2019 - Springer
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Regularity for general functionals with double phase

P Baroni, M Colombo, G Mingione - Calculus of Variations and Partial …, 2018 - Springer
We prove sharp regularity results for a general class of functionals of the type w ↦ ∫ F (x, w,
Dw)\, dx, w↦∫ F (x, w, D w) dx, featuring non-standard growth conditions and non-uniform …

A new class of double phase variable exponent problems: Existence and uniqueness

Á Crespo-Blanco, L Gasiński, P Harjulehto… - Journal of Differential …, 2022 - Elsevier
In this paper we introduce a new class of quasilinear elliptic equations driven by the so-
called double phase operator with variable exponents. We prove certain properties of the …

Existence results for double phase implicit obstacle problems involving multivalued operators

S Zeng, Y Bai, L Gasiński, P Winkert - Calculus of Variations and Partial …, 2020 - Springer
In this paper we study implicit obstacle problems driven by a nonhomogenous differential
operator, called double phase operator, and a multivalued term which is described by …

[HTML][HTML] Existence and multiplicity results for double phase problem

W Liu, G Dai - Journal of Differential Equations, 2018 - Elsevier
By variational method, we obtain various existence and multiplicity results for the following
double phase problem {− div (|∇ u| p− 2∇ u+ a (x)|∇ u| q− 2∇ u)= f (x, u) in Ω, u= 0 on∂ Ω …

Growth conditions and regularity for weak solutions to nonlinear elliptic pdes

P Marcellini - Journal of Mathematical Analysis and Applications, 2021 - Elsevier
We describe some aspects of the process/approach to interior regularity of weak solutions to
a class of nonlinear elliptic equations in divergence form, as well as of minimizers of …

Double phase implicit obstacle problems with convection and multivalued mixed boundary value conditions

S Zeng, VD Rădulescu, P Winkert - SIAM Journal on Mathematical Analysis, 2022 - SIAM
In this paper we consider a mixed boundary value problem with a nonhomogeneous,
nonlinear differential operator (called a double phase operator), a nonlinear convection term …

Double phase transonic flow problems with variable growth: nonlinear patterns and stationary waves

A Bahrouni, VD Rădulescu, DD Repovš - Nonlinearity, 2019 - iopscience.iop.org
In this paper we are concerned with a class of double phase energy functionals arising in
the theory of transonic flows. Their main feature is that the associated Euler equation is …

Eigenvalues for double phase variational integrals

F Colasuonno, M Squassina - Annali di Matematica Pura ed Applicata …, 2016 - Springer
We study an eigenvalue problem in the framework of double phase variational integrals, and
we introduce a sequence of nonlinear eigenvalues by a minimax procedure. We establish a …