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Existence of solution for biharmonic systems with indefinite weights [PDF]
, 2014 In this article we deal with the existence questions to the nonlinear biharmonic systems. Using theory of monotone operators, we show the existence of a unique weak solution to the weighted biharmonic systems.
G. Dwivedi
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A fractional Kirchhoff problem involving a singular term and a critical nonlinearity
Advances in Nonlinear Analysis, 2017 In this paper, we consider the following critical nonlocal problem:
Fiscella Alessio
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Dirichlet problems for fully nonlinear equations with ”subquadratic” HamiltoniansMathematical Subject Classification : 35J70, 35J75 [PDF]
, 2019 International ...
Birindelli, Isabeau +2 more
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Moroccan Journal of Pure and Applied Analysis, 2022 We study the existence and regularity results for non-linear elliptic equation with degenerate coercivity and a singular gradient lower order term. The model problems is {-div(b(x)|∇u|p-2∇u(1+|u|)γ)+|∇u|p|u|θ=f,in Ω,u=0,on ∂Ω,\left\{ {\matrix{ { - div ...
Khelifi Hichem
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Singular quasilinear convective elliptic systems in ℝN
Advances in Nonlinear Analysis, 2022 The existence of a positive entire weak solution to a singular quasi-linear elliptic system with convection terms is established, chiefly through perturbation techniques, fixed point arguments, and a priori estimates.
Guarnotta Umberto +2 more
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The impact of a lower order term in a Dirichlet problem with a singular nonlinearity
Portugaliae Mathematica, 2020 In this paper we study the existence and regularity of solutions to the following Dirichlet problem −div(a(x)|∇u| p−2 ∇u) + u|u| r−1 = f (x) u θ in Ω, u > 0 in Ω, u = 0 on ∂Ω proving that the lower order term u|u| r−1 has some regularizing ...
L. Boccardo, G. Croce
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A High-Order Discontinuous Galerkin Solver for Helically Symmetric Flows
, 2021 We present a high-order discontinuous Galerkin (DG) scheme to solve the system of helically symmetric Navier-Stokes equations which are discussed in [28].
D. Dierkes, F. Kummer, D. Pluemacher
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Bifurcation analysis for a modified quasilinear equation with negative exponent
Advances in Nonlinear Analysis, 2021 In this paper, we consider the following modified quasilinear problem:
Chen Siyu +3 more
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Advances in Nonlinear Analysis, 2021 In this paper, we establish the second boundary behavior of the unique strictly convex solution to a singular Dirichlet problem for the Monge-Ampère ...
Wan Haitao, Shi Yongxiu, Liu Wei
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