Results 131 to 140 of about 502 (154)

Quasilinear elliptic systems in perturbed form

2019
Summary: 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, 2007
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Yang, Guo Ying, Wang, Ming Xin
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Integrability for solutions to quasilinear elliptic systems.

2010
The authors give structural conditions on coefficients of quasilinear elliptic systems in divergence form \[ -\sum _{i=1}^n D_i\left (\sum _{j=1}^n \sum _{\beta =1}^N a_{ij}^{\alpha \beta }(x,u(x))D_j u^{\beta }(x)=0\right )\;\;\text{on \(\Omega \) for \(\alpha = 1,...,N\)} \] which guarantee the higher integrability of solution \(u\).
LEONETTI, Francesco, PETRICCA P. V.
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A CLASS OF QUASILINEAR ELLIPTIC SYSTEMS WITH NATURAL GROWTH CONDITION

Acta Mathematica Scientia, 1991
Let \(\Omega\) 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

1983
Firstly 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, 2002
Lower 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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Existence of solutions for a quasilinear elliptic system with local nonlinearity on ℝN

Mathematical Methods in the Applied Sciences, 2021
Xingyong Zhang, Cuiling Liu
exaly  

Existence of Multiple Solutions for a Quasilinear Elliptic System Involving Sign-Changing Weight Functions and Variable Exponent

Mediterranean Journal of Mathematics, 2022
Ying Chu, Libo Cheng, Yi Cheng
exaly  

On strongly quasilinear elliptic systems with weak monotonicity

Journal of Applied Analysis, 2021
Elhoussine Azroul, Farah Balaadich
exaly  

Psuedo-eigenvalues and quasilinear elliptic systems

Nonlinear Analysis, 2001
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