Results 191 to 200 of about 2,948 (219)

BOUNDARY REGULARITY FOR QUASILINEAR ELLIPTIC SYSTEMS

Communications in Partial Differential Equations, 2002
We 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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On the stability of solutions of a quasilinear uncertain system

Ukrainian Mathematical Journal, 1999
The author deals with a quasilinear system of the form \[ \dot x=Ax+f_1(x,y,\alpha), \qquad \dot y=By+f_2(x,y,\alpha), \] where \(x\) and \(y\) are, respectively, \(n\)- and \(m\)-dimensional vectors, \(A\), \(B\) are diagonal matrices, \(\alpha\) is \(d\)-dimensional parameter, and \(f_i(x,y,\alpha)=O(\|x\|^2 +\|y\|^2)\), \(i=1,2\), are continuous ...
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Centre Manifold Reduction for Quasilinear Discrete Systems

Journal of Nonlinear Science, 2003
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THE MIXED PROBLEM FOR QUASILINEAR SYSTEMS

2006
Abstract The local existence result for smooth solutions follows the guidelines of Chapters 10 (because of the nonlinearity) and 9 (since there is a boundary). Compatibility conditions are needed between the initial and boundary data.
Sylvie Benzoni-Gavage, Denis Serre
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THE CAUCHY PROBLEM FOR QUASILINEAR SYSTEMS

2006
Abstract This chapter obtains local solutions for Hs-data when this space is contained in the differentiable functions. The proof proceeds from a contraction mapping principle. The stability is obtained in Hs, thanks to the linear estimates of Chapter 2 and to Moser estimates, while the contraction is established in the L2-norm.
Sylvie Benzoni-Gavage, Denis Serre
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Quasilinearization Method for System Identification

1982
The method of quasilinearization was introduced in Chapter 4 as a successive approximation method for finding the solution of nonlinear two-point boundary problems. In this chapter quasilinearization is used for system identification (References 1–9) using the measurements to formulate the problem as a multipoint boundary-value problem.
Robert Kalaba, Karl Spingarn
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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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On a quasilinear Schrödinger-Poisson system

Journal of Mathematical Analysis and Applications, 2022
Jiabao Su, Cong Wang
exaly  

Existence of positive ground state solutions for quasilinear Schrödinger system with positive parameter

Applicable Analysis, 2023
Jianqing Chen, Qian Zhang
exaly  

Quasilinear Schrödinger–Poisson system with exponential and logarithmic nonlinearities

Mathematical Methods in the Applied Sciences, 2022
Xueqin Peng, Gao Jia
exaly