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Singular Quasilinear Elliptic Systems with (super-) Homogeneous Condition [PDF]
Journal of Siberian Federal University. Mathematics & Physics, 2020 In this paper we establish existence, nonexistence and regularity of positive solutions for a class of singular quasilinear elliptic systems subject to (super-) homogeneous condition. The approach is based on sub-supersolution methods for systems of quasilinear singular equations combined with perturbation arguments involving singular ...
Didi, Hana +2 more
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Quasilinear elliptic systems [PDF]
Annali di Matematica Pura ed Applicata (1923 -), 1978 The quasilinear elliptic system $$\sum\limits_{l{\text{ = 1}}}^n {\frac{\partial }{{\partial x_l }}\left\{ {\sum\limits_{j = 1}^N {\sum\limits_{m = 1}^n {C_{ij}^{lm} [x,U]\frac{{\partial U^j }}{{\partial x_m }} + B_i^l [x,U]} } } \right\} + F_i [x,U] = 0} $$
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Discontinuous Galerkin Finite Element Approximation of Nonlinear Second-Order Elliptic and Hyperbolic Systems [PDF]
, 2006 We develop the convergence analysis of discontinuous Galerkin finite element approximations to second-order quasilinear elliptic and hyperbolic systems of partial differential equations of the form, respectively, $-\sum_{\alpha=1}^d \partial_{x_\alpha ...
Suli, Endre +5 more
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Advances in Nonlinear Analysis, 2021 We consider quasilinear elliptic systems in divergence form. In general, we cannot expect that weak solutions are locally bounded because of De Giorgi’s counterexample. Here we assume that off-diagonal coefficients have a “butterfly support”: this allows
Leonardi Salvatore +3 more
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Bifurcation results for quasilinear elliptic systems
Advances in Differential Equations, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stavrakakis, N. M. +1 more
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Large time behavior in a quasilinear parabolic-parabolic-elliptic attraction-repulsion chemotaxis system [PDF]
, 2023 summary:This paper deals with a quasilinear parabolic-parabolic-elliptic attraction-repulsion chemotaxis system. Boundedness, stabilization and blow-up in this system of the fully parabolic and parabolic-elliptic-elliptic versions have already been ...
Chiyo, Yutaro
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Infinitely many solutions for a class of quasilinear two-point boundary value systems
Electronic Journal of Qualitative Theory of Differential Equations, 2015 The existence of infinitely many solutions for a class of Dirichlet quasilinear elliptic systems is established. The approach is based on variational methods.
Giuseppina D'Aguì +2 more
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Nontrivial solutions for a quasilinear elliptic system [PDF]
Boundary Value Problems, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cheng, Xiyou, Yang, Lu
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The first eigenvalue of p-Laplacian systems with nonlinear boundary conditions
Boundary Value Problems, 2005 We study the properties of the positive principal eigenvalue and the corresponding eigenspaces of two quasilinear elliptic systems under nonlinear boundary conditions. We prove that this eigenvalue is simple, unique up to positive eigenfunctions for both
N. B. Zographopoulos +2 more
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Multiple solutions for a class of nonlocal quasilinear elliptic systems in Orlicz–Sobolev spaces
Boundary Value Problems, 2021 In this paper, we study some results on the existence and multiplicity of solutions for a class of nonlocal quasilinear elliptic systems. In fact, we prove the existence of precise intervals of positive parameters such that the problem admits multiple ...
S. Heidari, A. Razani
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