Results 51 to 60 of about 838 (110)

Regularizing Effect of Two Hypotheses on the Interplay Between Coefficients in Some Hamilton–Jacobi Equations

Advanced Nonlinear Studies, 2021
We study of the regularizing effect of the interaction between the coefficient of the zero-order term and the lower-order term in quasilinear Dirichlet problems whose model ...
Arcoya David, Boccardo Lucio
doaj   +1 more source

Asymptotic Properties of Linearized Equations of Low Compressible Fluid Motion [PDF]

, 2010
Initial-boundary value problem for linearized equations of motion of viscous barotropic fluid in a bounded domain is considered. Existence, uniqueness and estimates of weak solutions to this problem are derived. Convergence of the solutions towards the incompressible limit when compressibility tends to zero is studied.
arxiv   +1 more source

Existence of solutions to strongly damped plate or beam equations

Boundary Value Problems, 2012
In this paper, we study a strongly damped plate or beam equation. By using spatial sequence techniques and energy estimate methods, we obtain an existence theorem of the solution to abstract strongly damped plate or beam equation and to a nonlinear plate
Hongying Luo, Li-mei Li, T. Ma
semanticscholar   +2 more sources

Investigation of weak solutions for p(z)-Kirchhoff equations by Young measure techniques

Nonautonomous Dynamical Systems
The present article deals with the existence of weak solutions to a class of p(z)p\left(z)-Kirchhoff-type problems. To address these problems, we employ a variational approach in conjunction with the theory of variable exponent Sobolev spaces, while ...
Allalou Mouad, Raji Abderrahmane
doaj   +1 more source

Well posedness of magnetohydrodynamic equations in 3D mixed-norm Lebesgue space

Open Mathematics, 2022
In this paper, we introduce a new metric space called the mixed-norm Lebesgue space, which allows its norm decay to zero with different rates as ∣x∣→∞| x| \to \infty in different spatial directions.
Liu Yongfang, Zhu Chaosheng
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Existence of Weak Solutions for the Incompressible Euler Equations [PDF]

, 2011
Using a recent result of C. De Lellis and L. Sz\'{e}kelyhidi Jr. we show that, in the case of periodic boundary conditions and for dimension greater or equal 2, there exist infinitely many global weak solutions to the incompressible Euler equations with initial data $v_0$, where $v_0$ may be any solenoidal $L^2$-vectorfield.
arxiv   +1 more source

Attractors for parabolic equations related to Caffarelli-Kohn-Nirenberg inequalities

Boundary Value Problems, 2012
Using the theory of uniform global attractors for multi-valued semiprocesses, we prove the existence of attractors for quasilinear parabolic equations related to Caffarelli-Kohn- Nirenberg inequalities, in which the conditions imposed on the nonlinearity
N. Binh, C. T. Anh
semanticscholar   +2 more sources

Stability of solutions to complex Monge-Ampère equations in big cohomology classes [PDF]

arXiv, 2011
We establish various stability results for solutions of complex Monge-Amp\`ere equations in big cohomology classes, generalizing results that were known to hold in the context of K\"ahler classes.
arxiv  

A fractional profile decomposition and its application to Kirchhoff-type fractional problems with prescribed mass

Advances in Nonlinear Analysis
In this article, we study the following fractional Kirchhoff-type problems with critical and sublinear nonlinearities: a+b∬RN×RN∣u(x)−u(y)∣2∣x−y∣N+2sdxdy(−Δ)su=λuq−1+u2s*−1,u>0,inΩ,u=0,inRN\Ω,∫RNu2dx=c2,\left\{\begin{array}{l}\left(a+b\mathop{\iint ...
Tian Junshan, Zhang Binlin
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Existence of positive solutions of elliptic mixed boundary value problem

Boundary Value Problems, 2012
In this paper, we use variational methods to prove two existence of positive solutions of the following mixed boundary value problem: {−Δu=f(x,u),x∈Ω,u=0,x∈σ,∂u∂ν=g(x,u),x∈Γ.
Guofa Li
semanticscholar   +1 more source