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Взрывная неустойчивость в нелинейных волновых моделях с распределенными параметрамиWe consider two model non-linear equations describing electric oscillations in systems

On the critical exponent "instantaneous blow-up" versus "local solubility" in the Cauchy problem for a model equation of Sobolev typeWe consider the Cauchy problem for a model partial differential equation of order three with a non-linearity

Caffarelli–Kohn–Nirenberg and Sobolev type inequalities on stratified Lie groupsIn this short paper, we establish a range of Caffarelli–Kohn–Nirenberg and weighted Lp-Sobolev type

Sobolev Type Inequalities, Euler–Hilbert–Sobolev and Sobolev–Lorentz–Zygmund Spaces on Homogeneous Groups and weighted Sobolev type and Sobolev–Rellich inequalities on homogeneous groups are given. Most inequalities

Existence of solutions of anisotropic elliptic equations with nonpolynomial nonlinearities in unbounded domains-order equations in divergence form with low-order terms and nonpolynomial nonlinearities (Equation presented

Behavior of solutions to elliptic equations with non-power nonlinearities in unbounded domains of elliptic equations with non-power nonlinearities.

On the Existence of Solutions of Nonlinear Boundary Value Problems for Inhomogeneous Isotropic Shallow Shells of the Timoshenko Type with Free Edges model. The problem is reduced to one nonlinear equation relative to deflection of shell in Sobolev space

Local growth envelopes and optimal embeddings of generalized Sobolev spacesThe order-sharp estimates for the local growth envelopes of functions from the generalized Sobolev

On the Solvability of Nonlinear Parabolic Functional-Differential Equations with Shifts in the Spatial VariablesThe first mixed boundary value problem for a nonlinear functional-differential equation

Refined geometrically nonlinear equations of motion for elongated rod-type plate© 2016, Allerton Press, Inc.We derive new refined geometrically nonlinear equations of motion

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