Existence and behavior of positive solution for a problem with discontinuous nonlinearity in via a nonsmooth penalization

GG dos Santos, GM Figueiredo… - Zeitschrift für angewandte …, 2020 - Springer
In this paper, we are concerned with existence and behavior of positive solution to the class
of nonlinear elliptic problems with discontinuous nonlinearities of the type {-Δ u+ V (x) u= H …

[PDF][PDF] Existence of positive solution for Kirchhoff type problem with critical discontinuous nonlinearity

GM Figueiredo, GG dos Santos - Annales Fennici Mathematici, 2019 - afm.journal.fi
EXISTENCE OF POSITIVE SOLUTION FOR KIRCHHOFF TYPE PROBLEM WITH CRITICAL
DISCONTINUOUS NONLINEARITY Page 1 Annales Academiæ Scientiarum Fennicæ …

[PDF][PDF] Concentration phenomenon for a fractional Schrödinger equation with discontinuous nonlinearity

V Ambrosio - Discrete Contin. Dyn. Syst. Ser. S, 2023 - researchgate.net
We study the following fractional Schrödinger equation with discontinuous nonlinearity:{(−∆)
su+ V (ε x) u= H (u− β) f (u) in RN, u> 0 in RN, where ε, β> 0, s∈(0, 1), N> 2s, H is the …

On the existence of solutions for a class of nonlinear fractional Schrödinger-Poisson system: Subcritical and critical cases

L Li, H Tao, S Tersian - Fractional Calculus and Applied Analysis, 2024 - Springer
In this paper, we establish the existence of standing wave solutions for a class of nonlinear
fractional Schrödinger-Poisson system involving nonlinearity with subcritical and critical …

A new linking theorem for Lipschitz functionals and its application

LJ Gu, P Chen, Z Liu - Zeitschrift für angewandte Mathematik und Physik, 2024 - Springer
In this paper, we establish a new linking theorem for local Lipschitz functionals without the τ-
upper semi-continuity assumption. As an application, we study the following equation with …

Об одном классе эллиптических краевых задач с параметром и разрывной нелинейностью

ВН Павленко, ДК Потапов - Известия Российской академии наук …, 2020 - mathnet.ru
В ограниченной области изучается эллиптическая краевая задача с неоднородным
граничным условием Дирихле, разрывной нелинейностью и положительным …

Existence of Positive Solutions for Quasilinear Elliptic Equation with Supercritical Growth and Discontinuous Perturbation

N Zhang, C Liang, L Liu - Bulletin of the Iranian Mathematical Society, 2025 - Springer
In this study, we explore the existence of positive solutions for a category of asymptotically
periodic generalized quasilinear elliptic equations in RN exhibiting supercritical growth and …

On a class of elliptic boundary-value problems with parameter and discontinuous non-linearity

VN Pavlenko, DK Potapov - Izvestiya: Mathematics, 2020 - iopscience.iop.org
We study an elliptic boundary-value problem in a bounded domain with inhomogeneous
Dirichlet condition, discontinuous non-linearity and a positive parameter occurring as a …

Existence and behavior of positive solutions for a class of linearly coupled systems with discontinuous nonlinearities in

JC de Albuquerque, GG Santos… - Journal of Fixed Point …, 2021 - Springer
In this paper we are concerned with existence and behavior of positive solutions to the
following class of linearly coupled elliptic systems with discontinuous nonlinearities {-Δ u+ …

Positive solutions of superlinear elliptic problems with discontinuous non-linearities

VN Pavlenko, DK Potapov - Izvestiya: Mathematics, 2021 - iopscience.iop.org
We consider an elliptic boundary-value problem with a homogeneous Dirichlet boundary
condition, a parameter and a discontinuous non-linearity. The positive parameter appears …