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Published in 2024 at "Results in Mathematics"
DOI: 10.1007/s00025-024-02246-9
Abstract: This paper is concerned with the homogeneous Dirichlet problem for a sublinear elliptic equation with unbounded coefficients in a Lipschitz domain. Bilateral a priori estimates for positive solutions and a priori upper estimates for their…
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Keywords:
lipschitz domains;
sublinear elliptic;
elliptic equations;
equations unbounded ... See more keywords
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Published in 2025 at "Journal of Mathematical Physics"
DOI: 10.1063/5.0164699
Abstract: This paper investigates the existence of martingale solution and invariant measure for the stochastic fractional Navier–Stokes equations on unbounded 3 dimension domains. By the Faedo–Galerkin approximation, a tightness criterion and the Skorokhod theorem, we get…
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Keywords:
navier stokes;
equations unbounded;
fractional navier;
stokes equations ... See more keywords
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Published in 2018 at "Complex Variables and Elliptic Equations"
DOI: 10.1080/17476933.2017.1313839
Abstract: ABSTRACT We study the existence and multiplicity of solutions for the following class of stationary nonlinear Schrödinger equations: where is a nonnegative parameter, V and Q are unbounded or decaying radial potentials, the nonlinearity f(s)…
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Keywords:
dinger equations;
equations unbounded;
stationary schr;
unbounded vanishing ... See more keywords
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Published in 2018 at "Siberian Mathematical Journal"
DOI: 10.1134/s0037446618020052
Abstract: The new class of functions almost periodic at infinity is defined using the subspace of functions with integrals decreasing at infinity. We obtain spectral criteria for almost periodicity at infinity of bounded solutions to differential…
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Keywords:
periodic infinity;
equations unbounded;
almost periodic;
differential equations ... See more keywords
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Published in 2024 at "Mathematica Slovaca"
DOI: 10.1515/ms-2024-0049
Abstract: Abstract In this paper, we initiate the study of asymptotic and oscillatory properties of solutions to second-order functional differential equations with noncanonical operators and unbounded neutral coefficients, using a recent method of iteratively improved monotonicity…
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Keywords:
differential equations;
unbounded neutral;
neutral coefficients;
equations unbounded ... See more keywords
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Published in 2023 at "Mathematics"
DOI: 10.3390/math11071760
Abstract: The paper is devoted to studying the existence, uniqueness and certain growth rates of solutions with certain implicit Volterra-type integrodifferential equations on unbounded from above time scales. We consider the case where the integrand is…
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Keywords:
equations unbounded;
nonlinear volterra;
integrodifferential equations;
time scales ... See more keywords