Results 11 to 20 of about 32,330 (255)
Three solutions for fractional elliptic systems involving ψ-Hilfer operator
Boundary Value ProblemsIn this paper, using variational methods introduced in the previous study on fractional elliptic systems, we prove the existence of at least three weak solutions for an elliptic nonlinear system with a p-Laplacian ψ-Hilfer operator.
Rafik Guefaifia +2 more
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Elliptic methods for solving the linearized field equations of causal variational principles [PDF]
Calculus of Variations and Partial Differential Equations, 2021 The existence theory is developed for solutions of the inhomogeneous linearized field equations for causal variational principles. These equations are formulated weakly with an integral operator which is shown to be bounded and symmetric on a Hilbert ...
F. Finster, Magdalena Lottner
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Topological Methods in Nonlinear Analysis, 2022 In this paper, we establish the existence of solutions to a class of elliptic systems. The nonlinearities include exponential growth terms and convection terms. The exponential growth term means it could be critical growth at $\infty$.
W. Liu
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Multiple solutions for critical nonhomogeneous elliptic systems in noncontractible domain
Mathematical methods in the applied sciences, 2021 The paper is concerned with multiple solutions of a nonhomogeneous elliptic system with Sobolev critical exponent over a noncontractible domain, precisely, a smooth bounded annular domain.
Xueliang Duan +2 more
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Two-level overlapping Schwarz methods based on local generalized eigenproblems for Hermitian variational problems [PDF]
SIAM Journal on Scientific Computing, 2021 The research of two-level overlapping Schwarz (TL-OS) method based on constrained energy minimizing coarse space is still in its infancy, and there exist some defects, e.g.
Q. Lu, Junxian Wang, S. Shu, J. Peng
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A priori bounds and positive solutions for non-variational fractional elliptic systems [PDF]
Differential and Integral Equations, 2014 In this paper we study strongly coupled elliptic systems in non-variational form involving fractional Laplace operators. We prove Liouville type theorems and, by mean of the blow-up method, we establish a priori bounds of positive solutions for ...
E. Leite, M. Montenegro
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A note on the variational structure of an elliptic system involving critical Sobolev exponent
Journal of Applied Mathematics, 2003 We consider an elliptic system involving critical growth conditions. We develop a technique of variational methods for elliptic systems. Using the well-known results of maximum principle for systems developed by Fleckinger et al.
Mario Zuluaga
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LCS Tool : A Computational Platform for Lagrangian Coherent Structures [PDF]
, 2014 We give an algorithmic introduction to Lagrangian coherent structures (LCSs) using a newly developed computational engine, LCS Tool. LCSs are most repelling, attracting and shearing material lines that form the centerpieces of observed tracer patterns in
Haller, G., Huhn, F., Onu, K.
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PDEs with Compressed Solutions [PDF]
, 2014 Sparsity plays a central role in recent developments in signal processing, linear algebra, statistics, optimization, and other fields. In these developments, sparsity is promoted through the addition of an $L^1$ norm (or related quantity) as a constraint
Caflisch, Russel E. +3 more
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Anais da Academia Brasileira de Ciências, 2000 In this paper we treat the question of the existence of solutions of boundary value problems for systems of nonlinear elliptic equations of the form - deltau = f (x, u, v,Ñu,Ñv), - deltav = g(x, u, v, Ñu, Ñv), in omega, We discuss several classes of such
DJAIRO G. DEFIGUEIREDO
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