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Thermal Timoshenko beam system with suspenders and Kelvin–Voigt damping
Frontiers in Applied Mathematics and Statistics, 2023 In the present study, we consider a thermal-Timoshenko-beam system with suspenders and Kelvin–Voigt damping type, where the heat is given by Cattaneo's law. Using the existing semi-group theory and energy method, we establish the existence and uniqueness
Soh Edwin Mukiawa +4 more
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Positive solutions for (p, q)-equations with convection and a sign-changing reaction
Advances in Nonlinear Analysis, 2021 We consider a nonlinear Dirichlet problem driven by the (p, q)-Laplacian and with a reaction which is dependent on the gradient. We look for positive solutions and we do not assume that the reaction is nonnegative.
Zeng Shengda, Papageorgiou Nikolaos S.
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The concentration-compactness principles for Ws,p(·,·)(ℝN) and application
Advances in Nonlinear Analysis, 2020 We obtain a critical imbedding and then, concentration-compactness principles for fractional Sobolev spaces with variable exponents. As an application of these results, we obtain the existence of many solutions for a class of critical nonlocal problems ...
Ho Ky, Kim Yun-Ho
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Existence and nonexistence of solutions for elliptic problems with multiple critical exponents
Open Mathematics, 2023 In this article, the existence and nonexistence of solutions for the quasilinear elliptic equations involving multiple critical terms under Dirichlet boundary conditions on bounded smooth domains Ω⊂RN(N≥3)\Omega \subset {R}^{N}(N\ge 3) are proved by ...
Li Yuanyuan
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Effective equation for a system of mechanical oscillators in an acoustic field [PDF]
, 2014 We consider a one dimensional evolution problem modeling the dynamics of an acoustic field coupled with a set of mechanical oscillators. We analyze solutions of the system of ordinary and partial differential equations with time-dependent boundary ...
Cacciapuoti, Claudio +2 more
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A system of equations involving the fractional p-Laplacian and doubly critical nonlinearities
Advanced Nonlinear Studies, 2023 This article deals with existence of solutions to the following fractional pp-Laplacian system of equations: (−Δp)su=∣u∣ps*−2u+γαps*∣u∣α−2u∣v∣βinΩ,(−Δp)sv=∣v∣ps*−2v+γβps*∣v∣β−2v∣u∣αinΩ,\left\{\begin{array}{l}{\left(-{\Delta }_{p})}^{s}u={| u| }^{{p}_{s}^{
Bhakta Mousomi +2 more
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Global Well-Posedness for 2-D Viscoelastic Fluid Model [PDF]
, 2016 This paper is concerned with a mathematical model which describes 2-D flows of an incompressible viscoelastic fluid of Oldroyd type in a bounded domain.
Artemov, Mikhail A. +1 more
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Advanced Nonlinear Studies, 2022 We study the existence of solutions for the quasilinear Schrödinger equation with the critical exponent and steep potential well. By using a change of variables, the quasilinear equations are reduced to a semilinear one, whose associated functionals ...
Xue Yan-Fang +2 more
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Advances in Nonlinear Analysis, 2020 In this paper, we study the fractional p-Laplacian evolution equation with arbitrary initial energy,
Liao Menglan, Liu Qiang, Ye Hailong
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Positive Solutions for Resonant (p, q)-equations with convection
Advances in Nonlinear Analysis, 2020 We consider a nonlinear parametric Dirichlet problem driven by the (p, q)-Laplacian (double phase problem) with a reaction exhibiting the competing effects of three different terms. A parametric one consisting of the sum of a singular term and of a drift
Liu Zhenhai, Papageorgiou Nikolaos S.
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