Results 11 to 20 of about 811 (206)
An alternative approach to partial regularity of quasilinear elliptic systems with VMO coefficients [PDF]
Journal of Inequalities and Applications, 2016 In this paper, we provide an alternative approach to partially Hölder continuity of some quasilinear elliptic systems with discontinuous coefficients under natural growth.
Haiyan Yu, Shenzhou Zheng, Yuxia Tong
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Estimates for eigenvalues of quasilinear elliptic systems
Journal of Differential Equations, 2006 In this paper we introduce the generalized eigenvalues of a quasilinear elliptic system of resonant type. We prove the existence of infinitely many continuous eigencurves, which are obtained by variational methods. For the one-dimensional problem, we obtain a hyperbolic type function defining a region which contains all the generalized eigenvalues ...
Pablo L. De Nápoli, Juan Pablo Pinasco
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On positive solutions of quasilinear elliptic systems [PDF]
Czechoslovak Mathematical Journal, 1997 The existence and nonexistence of positive solutions of quasilinear elliptic systems \[ -\Delta_p u= f(x,u,v), \quad -\Delta _p v = g(x,u,v), \quad \text{in} \;\Omega ,\quad u = v = 0,\quad \text{on} \;\partial \Omega, \] is studied. Here \(\Delta _p\) is the \(p\)-Laplacian, \(p>1\), \(\Omega \) is a \(C^{1,\alpha }\) domain in \(\mathbb R^n\) and \(f,
Cheng, Yuanji, Yuanji Cheng
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Entire solutions of quasilinear elliptic systems on Carnot groups [PDF]
Proceedings of the Steklov Institute of Mathematics, 2013 We prove general a priori estimates of solutions of a class of quasilinear elliptic system on Carnot groups. As a consequence, we obtain several non existence theorems. The results are new even in the Euclidean setting.
MITIDIERI, ENZO, L. D'AMBROSIO
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Existence of solutions for quasilinear elliptic systems involving critical exponents and Hardy terms
Electronic Journal of Differential Equations, 2013 Using variational methods, including the Ljusternik-Schnirelmann theory, we prove the existence of solutions for quasilinear elliptic systems with critical Sobolev exponents and Hardy terms.
Dengfeng Lu
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Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems
Abstract and Applied Analysis, 2002 This work is devoted to the study of a quasilinear elliptic system of resonant type. We prove the existence of infinitely many solutions of a related nonlinear eigenvalue problem.
Pablo L. de Nàpoli, M. Cristina Mariani
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Existence and Nonexistence Results for a Class of Quasilinear Elliptic Systems [PDF]
Boundary Value Problems, 2007 Using variational methods, we prove the existence and nonexistence of positive solutions for a class of -Laplacian systems with a parameter.
Perera Kanishka, El Manouni Said
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Singular quasilinear elliptic systems with gradient dependence [PDF]
Positivity, 2022 In this paper, we prove existence and regularity of positive solutions for singular quasilinear elliptic systems involving gradient terms. Our approach is based on comparison properties, a priori estimates and Schauder's fixed point theorem.
Halima Dellouche, Abdelkrim Moussaoui
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Existence of three solutions for a class of quasilinear elliptic systems involving the $p(x)$-Laplace operator [PDF]
Sahand Communications in Mathematical Analysis, 2018 The aim of this paper is to obtain three weak solutions for the Dirichlet quasilinear elliptic systems on a bonded domain. Our technical approach is based on the general three critical points theorem obtained by Ricceri.
Ali Taghavi +2 more
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Singular quasilinear elliptic systems in RN [PDF]
Annali di Matematica Pura ed Applicata (1923 -), 2019 The existence of positive weak solutions to a singular quasilinear elliptic system in the whole space is established via suitable a priori estimates and Schauder's fixed point theorem.
Marano, Salvatore A. +2 more
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