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 …

Nonsmooth dynamical systems: From the existence of solutions to optimal and feedback control

S Zeng, NS Papageorgiou, VD Rǎdulescu - Bulletin des Sciences …, 2022 - Elsevier
In this paper, we investigate a nonlinear and nonsmooth dynamics system (NNDS, for short)
involving two multi-valued maps which are a convex subdifferential operator and a …

Some recent results on singular p-Laplacian equations

U Guarnotta, R Livrea, SA Marano - Demonstratio Mathematica, 2022 - degruyter.com
A short account of some recent existence, multiplicity, and uniqueness results for singular p-
Laplacian problems either in bounded domains or in the whole space is performed, with a …

Nonlocal double phase implicit obstacle problems with multivalued boundary conditions

S Zeng, VD Rădulescu, P Winkert - SIAM Journal on Mathematical Analysis, 2024 - SIAM
In this paper, we consider a mixed boundary value problem with a nonhomogeneous,
nonlinear differential operator (called double phase operator), a nonlinear convection term …

Existence results for some nonlinear elliptic equations via topological degree methods

A Abbassi, C Allalou, A Kassidi - Journal of Elliptic and Parabolic …, 2021 - Springer
This article is devoted to study the existence of weak solutions to a Dirichlet boundary value
problem related to the following nonlinear elliptic equation-div\left (a (x, u, ∇ u)\right)-λ g (x …

The sub-supersolution method for variable exponent double phase systems with nonlinear boundary conditions

U Guarnotta, R Livrea, P Winkert - Rendiconti Lincei, 2023 - ems.press
In this paper, we study quasilinear elliptic systems driven by variable exponent double
phase operators involving fully coupled right-hand sides and nonlinear boundary conditions …

Positive maximal and minimal solutions for non-homogeneous elliptic equations depending on the gradient

GM Figueiredo, GF Madeira - Journal of Differential Equations, 2021 - Elsevier
We are concerned with positive maximal and minimal solutions for non-homogeneous
elliptic equations of the form− div (a (|∇ u| p)|∇ u| p− 2∇ u)= f (x, u,∇ u) in Ω, supplied with …

[PDF][PDF] Topological degree methods for a Neumann problem governed by nonlinear elliptic equation

A Abbassi, C Allalou, A Kassidi - … Journal of Pure and Applied Analysis, 2020 - sciendo.com
In this paper, we will use the topological degree, introduced by Berkovits, to prove existence
of weak solutions to a Neumann boundary value problems for the following nonlinear elliptic …

Infinitely many solutions to singular convective Neumann systems with arbitrarily growing reactions

U Guarnotta, SA Marano - Journal of Differential Equations, 2021 - Elsevier
An existence result for Neumann elliptic systems with singular, convective, sign-changing,
arbitrarily growing reactions is established. Proofs are chiefly based on sub-super-solution …