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 …

A singular eigenvalue problem for the Dirichlet (pq)-Laplacian

Y Bai, NS Papageorgiou, S Zeng - Mathematische Zeitschrift, 2022 - Springer
We consider a parametric nonlinear, nonhomogeneous Dirichlet problem driven by the (p, q)-
Laplacian with a reaction involving a singular term plus a superlinear reaction which does …

Double phase obstacle problems with variable exponent

S Zeng, VD Rădulescu, P Winkert - Advances in Differential …, 2022 - projecteuclid.org
This paper is devoted to the study of a quasilinear elliptic inclusion problem driven by a
double phase differential operator with variable exponents, an obstacle effect and a …

Existence of solutions for singular double phase problems via the Nehari manifold method

W Liu, G Dai, NS Papageorgiou, P Winkert - Analysis and Mathematical …, 2022 - Springer
In this paper we study quasilinear elliptic equations driven by the double phase operator
and a right-hand side which has the combined effect of a singular and of a parametric term …

Existence results for double phase problems depending on Robin and Steklov eigenvalues for the p-Laplacian

S El Manouni, G Marino, P Winkert - 2022 - degruyter.com
In this paper we study double phase problems with nonlinear boundary condition and
gradient dependence. Under quite general assumptions we prove existence results for such …

Nonstandard competing anisotropic -Laplacians with convolution

A Razani - Boundary Value Problems, 2022 - Springer
A competing anisotropic (p, q)-Laplacian−∑ i= 1 N∂∂ xi (|∂ u∂ xi| pi− 2− μ|∂ u∂ xi| qi−
2)∂ u∂ xi= f (x, ϕ⋆ u,∇(ϕ⋆ u)) as a nonstandard Dirichlet problem with convolutions on a …

Existence results for double phase obstacle problems with variable exponents

O Benslimane, A Aberqi, J Bennouna - Journal of Elliptic and Parabolic …, 2021 - Springer
In this paper, we introduce a new class of the approximating problems corresponding to a
quasilinear obstacle equations, which involves a general variable exponents elliptic …

Singular Finsler double phase problems with nonlinear boundary condition

C Farkas, A Fiscella, P Winkert - Advanced Nonlinear Studies, 2021 - degruyter.com
In this paper, we study a singular Finsler double phase problem with a nonlinear boundary
condition and perturbations that have a type of critical growth, even on the boundary. Based …

Ambrosetti–Prodi problems for the Robin (p, q)-Laplacian

NS Papageorgiou, VD Rădulescu, J Zhang - Nonlinear Analysis: Real …, 2022 - Elsevier
Abstract The classical Ambrosetti–Prodi problem considers perturbations of the linear
Dirichlet Laplace operator by a nonlinear reaction whose derivative jumps over the principal …

Positive Solutions for Singular Anisotropic (pq)-Equations

NS Papageorgiou, P Winkert - The Journal of Geometric Analysis, 2021 - Springer
In this paper, we consider a Dirichlet problem driven by an anisotropic (p, q)-differential
operator and a parametric reaction having the competing effects of a singular term and of a …