Results 41 to 50 of about 816 (100)
Existence of solutions to strongly damped quasilinear wave equations
Advances in Differential Equations, 2012 In this paper, we study the strongly damped quasilinear wave equation. By using spatial sequence techniques and energy estimate methods, we obtain the existence theorem of the solution to abstract a strongly damped wave equation and to a class of ...
Hongying Luo, Li-mei Li, T. Ma
semanticscholar +2 more sources
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.
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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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, 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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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
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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Global weak solutions for Kolmogorov-Vicsek type equations with orientational interactions
, 2016 We study the global existence and uniqueness of weak solutions to kinetic Kolmogorov-Vicsek models that can be considered a non-local non-linear Fokker-Planck type equation describing the dynamics of individuals with orientational interactions.
Gamba, Irene M., Kang, Moon-Jin
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Nonlinear elliptic boundary value problems with convection term and Hardy potential
Moroccan Journal of Pure and Applied Analysis, 2023 In this paper, we deal with a nonlinear elliptic problems that incorporate a Hardy potential and a nonlinear convection term. We establish the existence and regularity of solutions under various assumptions concerning the summability of the source term f.
Achhoud Fessel +2 more
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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
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