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of 264
pro vyhledávání: '"de Araujo, A. L. A."'
In this paper, we study the existence of a solution for a class of Dirichlet problems with a singularity and a convection term. Precisely, we consider the existence of a positive solution to the Dirichlet problem $$-\Delta_p u = \frac{\lambda}{u^{\al
Externí odkaz:
http://arxiv.org/abs/2409.12349
Autor:
Suárez, Fredy M. Sobrado, Sobrado, Lesly D. Barbosa, de Araujo, Gabriel L. Lacerda, Mendes, Filomena B. Rodrigues
This research studies two systems composed by the Timoshenko beam model for double wall carbon nanotubes, coupled with the heat equation governed by Fourier's law. For the first system, the coupling is given by the speed the rotation of the vertical
Externí odkaz:
http://arxiv.org/abs/2309.04906
In this paper, we are interested in studying the multiplicity, uniqueness, and nonexistence of solutions for a class of singular elliptic eigenvalue problem for the Dirichlet fractional $(p,q)$-Laplacian. The nonlinearity considered involves supercri
Externí odkaz:
http://arxiv.org/abs/2306.13603
Autor:
Ferreira, A. E. O., de Araújo, J. L. B., Ferreira, W. P., de Sousa, J. S., Oliveira, C. L. N.
Stressed soft materials commonly present viscoelastic signatures in the form of power-law or exponential decay. Understanding the origins of such rheologic behaviors is crucial to find proper technological applications. Using an elastic network model
Externí odkaz:
http://arxiv.org/abs/2303.07145
We consider, for $a,l\geq1,$ $b,s,\alpha>0,$ and $p>q\geq1,$ the homogeneous Dirichlet problem for the equation $-\Delta_{p}u=\lambda u^{q-1}+\beta u^{a-1}\left\vert \nabla u\right\vert ^{b}+mu^{l-1}e^{\alpha u^{s}}$ in a smooth bounded domain $\Omeg
Externí odkaz:
http://arxiv.org/abs/2303.00140
In this paper, we are interested in studying the existence or non-existence of solutions for a class of elliptic problems involving the $N$-Laplacian operator in the whole space. The nonlinearity considered involves critical Trudinger-Moser growth. O
Externí odkaz:
http://arxiv.org/abs/2009.03845
Publikováno v:
Phys. Rev. Research 2, 033222 (2020)
Rheological responses are the most relevant features to describe soft matter. So far, such constitutive relations are still not well understood in terms of small scale properties, although this knowledge would help the design of synthetic and bio-mat
Externí odkaz:
http://arxiv.org/abs/2004.02271
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In this paper, we study strongly coupled elliptic systems in non-variational form with negative exponents involving fractional Laplace operators. We investigate the existence, nonexistence, and uniqueness of the positive classical solution. The resul
Externí odkaz:
http://arxiv.org/abs/1903.08786