Results 11 to 20 of about 3,242 (149)
On the nonlinear perturbations of self-adjoint operators
Advances in Nonlinear Analysis, 2022 Using elements of the theory of linear operators in Hilbert spaces and monotonicity tools we obtain the existence and uniqueness results for a wide class of nonlinear problems driven by the equation Tx=N(x)Tx=N\left(x), where TT is a self-adjoint ...
Bełdziński Michał +2 more
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, 2020 The paper focuses on the mathematical and numerical modelling of the thermoelasticity problem in the three-dimensional region. The governing equations of the mathematical model are a set of equilibrium equations.
E. Wegrzyn-Skrzypczak
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Electromagnetic Wave Scattering by Small Impedance Particles of an Arbitrary Shape and Applications
Challenges, 2014 The proposal deals with electromagnetic (EM) wave scattering by one and many small impedance particles of an arbitrary shape. Analytic formula is derived for EM wave scattering by one small impedance particle of an arbitrary shape and an integral ...
Alexander G. Ramm
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Open Mathematics, 2020 This paper focuses on the existence and the multiplicity of classical radially symmetric solutions of the mean curvature problem:−div∇v1+|∇v|2=f(x,v,∇v)inΩ,a0v+a1∂v∂ν=0on∂Ω,\left\{\begin{array}{ll}-\text{div}\left(\frac{\nabla v}{\sqrt{1+|\nabla v{|}^{2}}
Obersnel Franco, Omari Pierpaolo
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MATHEMATICAL MODELLING OF SOIL MASSIF'S DEFORMATIONS UNDER ITS DRAINAGE
International Journal of Apllied Mathematics, 2019 Mathematical models in the assessment of water saturated soil massifs’ deformations under their drainage have been developed and substantiated. An algorithm for the construction of hydrodynamic networks has been developed and the transformation of ...
M. Kuzlo, V. S. Moshynskyi, P. Martyniuk
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On a weighted elliptic equation of N-Kirchhoff type with double exponential growth
Demonstratio Mathematica, 2022 In this work, we study the weighted Kirchhoff problem −g∫Bσ(x)∣∇u∣Ndxdiv(σ(x)∣∇u∣N−2∇u)=f(x,u)inB,u>0inB,u=0on∂B,\left\{\begin{array}{ll}-g\left(\mathop{\displaystyle \int }\limits_{B}\sigma \left(x)| \nabla u\hspace{-0.25em}{| }^{N}{\rm{d}}x\right){\rm ...
Abid Imed, Baraket Sami, Jaidane Rached
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On a Generalization of Szemerédi's Theorem [PDF]
, 2005 Let N be a natural number and A ⊂ [1, …, N]2 be a set of cardinality at least N2/(loglogN)c is an absolute constant. We prove that A contains a triple {(k, m), (k+d, m), (k, m+d)}, where d > 0.
I. Shkredov
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The Dirichlet Problem for elliptic equations in unbounded domains of the plane
Journal of Function Spaces, Volume 6, Issue 1, Page 47-58, 2008., 2008 In this paper we prove a uniqueness and existence theorem for the Dirichlet problem in W2,p for second order linear elliptic equations in unbounded domains of the plane. Here the leading coefficients are locally of class VMO and satisfy a suitable condition at infinity.
Paola Cavaliere +2 more
wiley +1 more source
Open Mathematics, 2017 We have investigated the behaviour of solutions of elliptic quasi-linear problems in a neighbourhood of boundary singularities in bounded and unbounded domains. We found exponents of the solution’s decreasing rate near the boundary singularities.
Bodzioch Mariusz +2 more
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Examples of non-Dini domains with large singular sets
Advanced Nonlinear Studies, 2023 Let uu be a nontrivial harmonic function in a domain D⊂RdD\subset {{\mathbb{R}}}^{d}, which vanishes on an open set of the boundary. In a recent article, we showed that if DD is a C1{C}^{1}-Dini domain, then, within the open set, the singular set of uu ...
Kenig Carlos, Zhao Zihui
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