Results 41 to 50 of about 840 (100)
Journal of Mathematics, Volume 2024, Issue 1, 2024.In this paper, we consider the following quasilinear p⟶⋅‐elliptic problems with flux boundary conditions of the type −∑i=1N∂/∂xiaix,∂u/∂xi+bxupMx−2u=f1x,u−sgnug1x in Ω,∑i=1Naix,∂u/∂xiνi=cxuqx−2u+f2x,u−sgnug2x on ∂Ω.. Using the Fountain theorem and dual Fountain theorem, we prove the existence and multiplicity of solutions for a given problem, subject ...
Ahmed Ahmed +2 more
wiley +1 more source
Unique solutions to boundary value problems in the cold plasma model
, 2010 The unique existence of a weak solution to the homogeneous closed Dirichlet problem on certain D-star-shaped domains is proven for a mixed elliptic-hyperbolic equation.
Otway, Thomas H.
core +1 more source
, 2019 We consider a two-dimensional MHD model describing the evolution of viscous, compressible and electrically conducting fluids under the action of vertical magnetic field without resistivity.
Li, Yang, Sun, Yongzhong
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Generalised global supersolutions with mass control for systems with taxis
, 2019 The existence of generalised global supersolutions with a control upon the total mass is established for a wide family of parabolic-parabolic chemotaxis systems and general integrable initial data in any space dimension.
Zhigun, Anna
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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, Tian Ma
semanticscholar +2 more sources
Investigation of weak solutions for p(z)-Kirchhoff equations by Young measure techniques
Nonautonomous Dynamical SystemsThe 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
Infinitely many radial and non-radial sign-changing solutions for Schrödinger equations
Advances in Nonlinear Analysis, 2022 In the present paper, a class of Schrödinger equations is investigated, which can be stated as −Δu+V(x)u=f(u), x∈ℝN.- \Delta u + V(x)u = f(u),\;\;\;\;x \in {{\rm{\mathbb R}}^N}.
Li Gui-Dong, Li Yong-Yong, Tang Chun-Lei
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Two scenarios on a potential smoothness breakdown for the three-dimensional Navier-Stokes equations [PDF]
, 2017 In this paper we construct two families of initial data being arbitrarily large under any scaling-invariant norm for which their corresponding weak solution to the three-dimensional Navier-Stokes equations become smooth on either $[0,T_1]$ or $ [T_2 ...
Gutiérrez-Santacreu, Juan Vicente
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The structure of 𝓐-free measures revisited
Advances in Nonlinear Analysis, 2020 We refine a recent result on the structure of measures satisfying a linear partial differential equation 𝓐μ = σ, μ, σ are Radon measures, considering the measure μ(x) = g(x)dx + μus(x̃)(μs(x̄) + dx̄) where x = (x̃,x̄) ∈ ℝk × ℝd−k, μus is a uniformly ...
Mitrovic D., Vujadinović Dj.
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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