Results 1 to 10 of about 218 (175)
Quasilinear and singular elliptic systems [PDF]
Advances in Nonlinear Analysis, 2013 In this paper, we investigate the following quasilinear elliptic and singular system :
Giacomoni Jacques +2 more
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Singular quasilinear convective elliptic systems in ℝN [PDF]
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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Weak solutions for singular quasilinear elliptic systems [PDF]
Complex Variables and Elliptic Equations, 2016 20 pages, This paper contains in Section 2 the results from my previous paper arXiv:1511 ...
Gurpreet Singh
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Uniform $$L^{\infty }$$-Estimates for Quasilinear Elliptic Systems
Mediterranean Journal of Mathematics, 2023 AbstractThe aim of this work is to provide uniform $$L^{\infty }$$ L ∞ -estimates for the solutions of a quite general class of (p, q)-quasilinear elliptic systems depending on two parameters $$\alpha $$ α and $$\delta $$
Giuseppina Vannella
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On some multicomponent quasilinear elliptic systems
Journal of Mathematical Analysis and Applications, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Enzo Mitidieri
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Boundedness of solutions to quasilinear elliptic systems
Advances in Nonlinear AnalysisThis article deals with elliptic systems of the form −∑i=1n∂∂xi∑β=1N∑j=1nai,jα,β(x,u(x))∂uβ(x)∂xj=fα(x),α=1,…,N.-\mathop{\sum }\limits_{i=1}^{n}\frac{\partial }{\partial {x}_{i}}\left(\mathop{\sum }\limits_{\beta =1}^{N}\mathop{\sum }\limits_{j=1}^{n}{a ...
Mi Fang +3 more
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Quasilinear elliptic systems in divergence form associated to general nonlinearities
Advances in Nonlinear Analysis, 2018 The paper is concerned with a priori estimates of positive solutions of quasilinear elliptic systems of equations or inequalities in an open set of Ω⊂ℝN{\Omega\subset\mathbb{R}^{N}} associated to general continuous nonlinearities satisfying a local ...
D’Ambrosio Lorenzo, Mitidieri Enzo
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Estimates for critical groups of solutions to quasilinear elliptic systems [PDF]
Electronic Journal of Differential Equations, 2003 In this work we study a class of functionals, defined on Banach spaces, associated with quasilinear elliptic systems. Firstly, we prove some regularity results about the critical points of such functionals and then we estimate the critical groups in each
Jose Carmona +2 more
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Nontrivial solutions for resonance quasilinear elliptic systems
Advances in Nonlinear AnalysisWe establish an Amann-Zehnder-type result for resonance systems of quasilinear elliptic equations with homogeneous Dirichlet boundary conditions, involving nonlinearities growing asymptotically (p,q)\left(p,q)-linear at infinity.
Borgia Natalino +2 more
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Singular quasilinear convective systems involving variable exponents [PDF]
Opuscula Mathematica, 2023 The paper deals with the existence of solutions for quasilinear elliptic systems involving singular and convection terms with variable exponents. The approach combines the sub-supersolutions method and Schauder's fixed point theorem.
Abdelkrim Moussaoui +2 more
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