Nonlinear Differential Equations and Applications NoDEA
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A Hessenberg–Jacobi isospectral flow
Nonlinear Differential Equations and Applications NoDEA - Tập 22 - Trang 87-103 - 2014
In this paper we introduce an isospectral flow (Lax flow) that deforms real Hessenberg matrices to Jacobi matrices isospectrally. The Lax flow is given by
$$\frac{dA}{dt} = [[A^T, A]_{du}, A],$$
where brackets indicate the usual matrix commutator,...... hiện toàn bộ
Double layered solutions to the extended Fisher–Kolmogorov P.D.E.Abstract We construct double layered solutions to the extended Fisher–Kolmogorov P.D.E., under the assumption that the set of minimal heteroclinics of the corresponding O.D.E. satisfies a separation condition. The aim of our work is to provide for the extended Fisher–Kolmogorov equation, the first examples of two-dimensional minimal solutions, since these solutions ... ... hiện toàn bộ
Nonlinear Differential Equations and Applications NoDEA - Tập 28 Số 5 - 2021
Hölder regularity for the general parabolic p(x, t)-Laplacian equations
Nonlinear Differential Equations and Applications NoDEA - Tập 22 - Trang 105-119 - 2014
In this paper we obtain the local Hölder regularity of the gradient of weak solutions for the general parabolic p(x, t)-Laplacian equations
$$u_t-\text{div}\ \mathcal{A}\left( \nabla u, x, t \right)\,=\,\text{div} \left(|\mathrm{\bf f}|^{p(x, t)-2} \mathrm{\bf f}\right),$$
...... hiện toàn bộ
Differential equations with bounded positive Green’s functions and generalized Aizerman’s hypothesis
Nonlinear Differential Equations and Applications NoDEA - Tập 11 - Trang 137-150 - 2004
We derive conditions for the positivity
and boundedness of the Green functions of the higher order linear nonautonomous ODE.
By virtue of these conditions, the existence of positive solutions
for a class of nonlinear equations is proved. In addition,
upper and lower estimates for the Green functions
are established. Moreover, it is shown that nonlinear equations, having separated nonaut...... hiện toàn bộ
Shell model of turbulence perturbed by Lévy noise
Nonlinear Differential Equations and Applications NoDEA - Tập 18 - Trang 615-648 - 2011
In this work we prove the existence and uniqueness of the strong solution of the shell model of turbulence perturbed by Lévy noise. The local monotonicity arguments have been exploited in the proofs.
Nonlinear eigenvalue problems for quasilinear operators on unbounded domains
Nonlinear Differential Equations and Applications NoDEA - - 2001
We prove several existence results for eigenvalue problems involving the p-Laplacian and a nonlinear boundary condition on unbounded domains. We treat the non-degenerate subcritical case and the solutions are found in an appropriate weighted Sobolev space.
Nonexistence results for elliptic problems with supercritical growth in thin planar domains
Nonlinear Differential Equations and Applications NoDEA - Tập 30 Số 5 - 2023
Sturm type theorems for general quasi-variational nonlinear problems
Nonlinear Differential Equations and Applications NoDEA - Tập 5 Số 1 - Trang 1-22 - 1998
On solutions for fractional $$\pmb {N/s}$$ -Laplacian equations involving exponential growth
Nonlinear Differential Equations and Applications NoDEA - Tập 28 - Trang 1-33 - 2021
In this work we investigate the existence and multiplicity of solutions for a class of nonlocal problems involving the fractional N/s-Laplacian and nonlinearities that may have exponential growth of Trudinger–Moser type. First, by using the constraint variational method, the quantitative deformation lemma and the fractional Trudinger–Moser inequality, we establish the existence of a least energy n...... hiện toàn bộ
Phát triển giao diện cho các phương trình phản ứng–khuếch tán suy thoái phi tuyến nhiều chiều Dịch bởi AI
Nonlinear Differential Equations and Applications NoDEA - Tập 27 - Trang 1-21 - 2019
Bài báo này trình bày một phân loại đầy đủ về hành vi ngắn hạn của các bề mặt giao diện trong bài toán Cauchy cho phương trình vi phân phân cấp phi tuyến bậc hai suy thoái $$\begin{aligned} u_t-\Delta u^m +b u^\beta =0, \quad x\in {\mathbb {R}}^N, 0... hiện toàn bộ
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Tổng số: 920
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