Results 1 to 10 of about 350 (69)
A fractional Kirchhoff problem involving a singular term and a critical nonlinearity [PDF]
Advances in Nonlinear Analysis, 2017 In this paper, we consider the following critical nonlocal problem:
Fiscella Alessio
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, 2019 For a class of fully nonlinear equations having second order operators which may be singular or degenerate when the gradient of the solutions vanishes, and having first order terms with power growth, we prove the existence and uniqueness of suitably defined viscosity solution of Dirichlet problem and we further show that it is a Lipschitz continuous ...
Birindelli, Isabeau +2 more
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, 2019 We study the ergodic problem for fully nonlinear operators which may be singular or degenerate when the gradient of solutions vanishes. We prove the convergence of both explosive solutions and solutions of Dirichlet problems for approximating equations.
Birindelli, Isabeau +2 more
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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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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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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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Deforming a Convex Hypersurface by Anisotropic Curvature Flows
Advanced Nonlinear Studies, 2021 In this paper, we consider a fully nonlinear curvature flow of a convex hypersurface in the Euclidean 𝑛-space. This flow involves 𝑘-th elementary symmetric function for principal curvature radii and a function of support function.
Ju HongJie, Li BoYa, Liu YanNan
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