Results 121 to 130 of about 502 (154)
MULTIPLE NONSEMITRIVIAL SOLUTIONS FOR QUASILINEAR ELLIPTIC SYSTEMS
, 2003 Stavrakakis, N, Zographopoulos, N
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Entire positive solution to the system of quasilinear elliptic equations
Applied Mathematics and Computation, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zuodong Yang
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On a class of quasilinear elliptic systems
Acta Scientiarum Mathematicarum, 2021The paper deals with existence of \(W^{1,p}_0(\Omega;\mathbb{R}^m)\)-weak solutions to the quasilinear elliptic systems of the type \[-\operatorname{div}\big(a(\vert Du\vert )Du\big)=f\; \text{ in }\Omega,\] \[u=0 \; \text{ on } \partial\Omega\] in a bounded domain \(\Omega\subset\mathbb{R}^n\) with \(n\geq 2.\) The right-hand side \(f\) belongs to \(W^
Balaadich, Farah, Azroul, Elhoussine
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Existence and boundedness of solutions for a singular cooperative quasilinear elliptic system
Complex Variables and Elliptic Equations, 2014 International audienceThis article sets forth results on the existence, a priori estimates and boundedness of positive solutions of a singular quasilinear system of elliptic equations.
Dumitru Motreanu, Abdelkrim Moussaoui
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On Quasilinearization of Elliptic Monge–Ampère Systems
Lobachevskii Journal of Mathematics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Applied Mathematics Letters, 2003 The prior estimate and decay property of positive solutions are derived for a system of quasilinear elliptic differential equations first. Then the result of nonexistence for a differential equation system of radially nonincreasing positive solutions is ...
Zuodong Yang, Qishao Lu
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Some remarks on a system of quasilinear elliptic equations
NoDEA : Nonlinear Differential Equations and Applications, 2002The present paper deals with the functional \[ \Phi(u,v)= {1\over p} \int_\Omega |\nabla u|^p+ {1\over q}\int_\Omega|\nabla v|^q-\int_\Omega F(x,u,v)\,dx, \tag{1} \] where \(p\) and \(q\) are real numbers larger than \(1,\Omega\) is some bounded domain in \(\mathbb R^N\), \(u\) and \(v\) are real-valued functions defined in \(\overline\Omega\) and ...
BOCCARDO, Lucio, D. De Figueiredo
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Multiple Solutions for Nonvariational Quasilinear Elliptic Systems
Mediterranean Journal of Mathematics, 2018The paper is concerned with the qualitative analysis of the solutions to a nonvariational quasilinear elliptic system with homogeneous Dirichlet boundary condition. The authors are interested in the existence of multiple nontrivial solutions. The main result establishes the existence of at least three solutions, two of them are of opposite constant ...
Motreanu, Dumitru +2 more
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BOUNDARY REGULARITY FOR QUASILINEAR ELLIPTIC SYSTEMS
Communications in Partial Differential Equations, 2002We consider boundary regularity for solutions of certain systems of second-order nonlinear elliptic equations, and obtain a general criterion for a weak solution to be regular in the neighbourhood of a given boundary point. Combined with existing results on interior partial regularity, this result yields an upper bound on the Hausdorff dimension of the
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Quasilinear elliptic systems with measure data
Nonlinear Analysis: Theory, Methods & Applications, 2017Abstract We study the existence of solutions of quasilinear elliptic systems involving N equations and a measure on the right hand side, with the form { − ∑ i = 1 n ∂ ∂ x i ( ∑ β = 1 N ∑ j = 1 n a i , j α , β ( x , u ) ∂ ∂ x j u β )
LEONETTI, Francesco +2 more
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