Nonlinear viscoelasticity of strain rate type: an overview. [PDF]
Proc Math Phys Eng Sci, 2021 Şengül Y.
europepmc +1 more source
Lower bounds for generalized eigenvalues of the quasilinear systems
, 2012 In this paper, we establish several new Lyapunov-type inequalities for two classes of one-dimensional quasilinear elliptic systems of resonant type, which generalize or improve all related existing ones.
Xiaofei He +3 more
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Existence of multiple solutions for quasilinear diagonal elliptic systems
Electronic Journal of Differential Equations, 1999 Nonsmooth-critical-point theory is applied in proving multiplicity results for the quasilinear symmetric elliptic system $$ -sum_{i,j=1}^{n}D_j(a^{k}_{ij}(x,u)D_iu_k)+ {1over 2}sum_{i,j=1}^{n}sum_{h=1}^N D_{s_k}a^{h}_{ij}(x,u)D_iu_hD_ju_h=g_k(x,u ...
Marco Squassina
doaj
Existence of positive radial solutions of general quasilinear elliptic systems
Advances in Nonlinear AnalysisLet Ω⊂Rn(n≥2)\Omega \subset {{\mathbb{R}}}^{n}\hspace{0.33em}\left(n\ge 2) be either an open ball BR{B}_{R} centred at the origin or the whole space. We study the existence of positive, radial solutions of quasilinear elliptic systems of the form Δpu=f1(∣
Devine Daniel
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Nonhomogeneous quasilinear elliptic systems with small perturbations and lack of compactness
Bulletin of Mathematical SciencesWe investigate a class of quasilinear elliptic system involving a nonhomogeneous differential operator which is introduced by Stuart [Milan J. Math. 79 (2011) 327–341] and depends not only on [Formula: see text] but also on u.
Xingyong Zhang, Wanting Qi
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Classical solutions of quasilinear parabolic systems on two dimensional domains
, 2006 Using results on abstract evolutions equations and recently obtained results on elliptic operators with discontinuous coefficients including mixed boundary conditions we prove that quasilinear parabolic systems admit a local, classical solution in the ...
Neidhardt, Hagen +2 more
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Multiplicity of positive solutions for quasilinear elliptic p-Laplacian systems
Electronic Journal of Differential Equations, 2012 We study the existence and multiplicity of solutions to the elliptic system $$displaylines{ -hbox{div}(|abla u|^{p-2} abla u)+m_1(x)|u|^{p-2}u =lambda g(x,u) quad xin Omega,cr -hbox{div}(|abla v|^{p-2} abla v)+m_2(x)|v|^{p-2}v=mu h(x,v) quad xin ...
Asadollah Aghajani, Jamileh Shamshiri
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Homogenization and correctors for composite media with coated and highly anisotropic fibers
Electronic Journal of Differential Equations, 2012 This article presents the homogenization of a quasilinear elliptic-parabolic problem in an $varepsilon$-periodic medium consisting of a set of highly anisotropic fibers surrounded by coating layers, the whole being embedded in a third material having
Ahmed Boughammoura
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On the existence of a priori bounds for positive solutions of elliptic problems, II
Revista Integración, 2019 We continue studying the existence of uniform L∞ a priori bounds for positive solutions of subcritical elliptic equations (P)p − \Delta_pu = f(u), in \Omega, u = 0, on ∂\Omega, We provide sufficient conditions for having a-priori L∞ bounds for C1 ...
Rosa Pardo
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Anisotropic quasilinear elliptic systems with homogeneous critical nonlinearities
Mathematische NachrichtenAbstractIn this work, we consider a system of quasilinear elliptic equations driven by an anisotropic ‐Laplacian. The lower order nonlinearities are in potential form and exhibit critical Sobolev growth. We exhibit conditions on the coefficients of the differential operator, the domain of the unknown function, and the lower order nonlinearities under ...
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