Results 181 to 190 of about 811 (206)
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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 in perturbed form
2019Summary: In this paper, we consider the boundary value problem of a quasilinear elliptic system in degenerate form with data belongs to the dual of Sobolev spaces. The existence result is proved by means of Young measures and mild monotonicity assumptions.
Balaadich, Farah, Azroul, Elhoussine
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Structure of Coexistence States for a Class of Quasilinear Elliptic Systems
Acta Mathematica Sinica, English Series, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yang, Guo Ying, Wang, Ming Xin
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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.
Qing Miao, Zuodong Yang
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A CLASS OF QUASILINEAR ELLIPTIC SYSTEMS WITH NATURAL GROWTH CONDITION
Acta Mathematica Scientia, 1991Let \(\Omega\) be a bounded domain in \(\mathbb{R}^ n\) with smooth boundary \(\partial\Omega\). \[ -D_ \alpha(a^ i_{\alpha\beta}(x,u)D_ \beta u^ i)+{1\over 2}a^ j_{\alpha,\beta,u^ i}D_ \alpha u^ jD_ \beta u^ j=0,\quad x\in\Omega,\quad u(x)=w(x),\quad x\in\partial\Omega, \] where \(D^ \alpha=\partial/\partial x_ \alpha\), \(a^ i_{\alpha\beta}(x,u)=a ...
Shen, Yaotian, Guo, Xinkang
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Quasilinear Elliptic Systems in Diagonal Form
1983Firstly examples of systems in diagonal form appearing in differential geometry are considered. Then a survey on regularity results is given. Finally two proofs of a regularity theorem are given in some detail.
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Some qualitative properties of solutions of quasilinear elliptic systems
Nonlinear Analysis: Theory, Methods & Applications, 2002Lower bounds of essential supremum of solutions of quasilinear elliptic systems are obtained, using the method of control of essential supremum published in the paper by Korkut, Pašić and Žubrinić for the scalar case, [J. Differential Equations 170 (2001) 240-280] (the method was introduced by the second author).
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On strongly quasilinear elliptic systems with weak monotonicity
Journal of Applied Analysis, 2021Elhoussine Azroul, Farah Balaadich
exaly