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 results for double phase implicit obstacle problems involving multivalued operators
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 …
Solutions with sign information for noncoercive double phase equations
NS Papageorgiou, J Zhang, W Zhang - The Journal of Geometric Analysis, 2024 - Springer
We consider a nonautonomous (p, q)-equation with unbalanced growth and a reaction
which exhibits the combined effects of a parametric “concave"((p-1)-sublinear) term and of a …
which exhibits the combined effects of a parametric “concave"((p-1)-sublinear) term and of a …
Double phase implicit obstacle problems with convection and multivalued mixed boundary value conditions
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 …
nonlinear differential operator (called a double phase operator), a nonlinear convection term …
Constant sign solutions for double phase problems with superlinear nonlinearity
L Gasiński, P Winkert - Nonlinear Analysis, 2020 - Elsevier
We study parametric double phase problems involving superlinear nonlinearities with a
growth that need not necessarily be polynomial. Based on truncation and comparison …
growth that need not necessarily be polynomial. Based on truncation and comparison …
[HTML][HTML] Existence results for double phase problem in Sobolev–Orlicz spaces with variable exponents in complete manifold
A Aberqi, J Bennouna, O Benslimane… - Mediterranean Journal of …, 2022 - Springer
In this paper, we study the existence of non-negative non-trivial solutions for a class of
double-phase problems where the source term is a Caratheodory function that satisfies the …
double-phase problems where the source term is a Caratheodory function that satisfies the …
Existence and multiplicity of solutions to concave–convex-type double-phase problems with variable exponent
IH Kim, YH Kim, MW Oh, S Zeng - Nonlinear Analysis: Real World …, 2022 - Elsevier
This paper is devoted to the study of the L∞-bound of solutions to the double-phase
nonlinear problem with variable exponent by the case of a combined effect of concave …
nonlinear problem with variable exponent by the case of a combined effect of concave …
Sign changing solution for a double phase problem with nonlinear boundary condition via the Nehari manifold
L Gasiński, P Winkert - Journal of Differential Equations, 2021 - Elsevier
In this paper we study quasilinear elliptic equations driven by the so-called double phase
operator and with a nonlinear boundary condition. Due to the lack of regularity, we prove the …
operator and with a nonlinear boundary condition. Due to the lack of regularity, we prove the …
An existence result for singular Finsler double phase problems
In this paper, we study a class of singular double phase problems defined on Minkowski
spaces in terms of Finsler manifolds and with right-hand sides that allow a certain type of …
spaces in terms of Finsler manifolds and with right-hand sides that allow a certain type of …
Non-autonomous (p, q)-equations with unbalanced growth
NS Papageorgiou, A Pudełko, VD Rădulescu - Mathematische Annalen, 2023 - Springer
We consider a nonlinear elliptic Dirichlet equation driven by a double phase operator and a
Carathéodory (p-1)-linear reaction. First, we conduct a detailed spectral analysis of the …
Carathéodory (p-1)-linear reaction. First, we conduct a detailed spectral analysis of the …