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[کتاب][B] Generalized Orlicz Spaces
P Harjulehto, P Hästö, P Harjulehto, P Hästö - 2019 - Springer
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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 …
introduced in the epoch-making paper by Colombo-Mingione for constants p and q, and …
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 …
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 …
called double phase operator with variable exponents. We prove certain properties of the …
[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 …
double phase problem {− div (|∇ u| p− 2∇ u+ a (x)|∇ u| q− 2∇ u)= f (x, u) in Ω, u= 0 on∂ Ω …
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 …
operator, called double phase operator, and a multivalued term which is described by …
[HTML][HTML] Existence and uniqueness results for double phase problems with convection term
L Gasiński, P Winkert - Journal of Differential Equations, 2020 - Elsevier
In this paper we consider quasilinear elliptic equations with double phase phenomena and
a reaction term depending on the gradient. Under quite general assumptions on the …
a reaction term depending on the gradient. Under quite general assumptions on the …
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 …
the theory of transonic flows. Their main feature is that the associated Euler equation is …
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 …
a class of nonlinear elliptic equations in divergence form, as well as of minimizers of …
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 …
we introduce a sequence of nonlinear eigenvalues by a minimax procedure. We establish a …