Results 41 to 50 of about 11,751,266 (377)
Growth induced instabilities in a circular hyperelastic plate [PDF]
arXiv, 2021 In this work, we have explored growth-induced mechanical instability in an isotropic circular hyperelastic plate. Consistent two-dimensional governing equations for a plate under a general finite strain are derived using a variational approach. The derived plate equations are solved using the compound matrix method for two cases of axisymmetric growth ...
arxiv
Fourth-order elliptic problems with critical nonlinearities by a sublinear perturbation
Nonlinear Analysis, 2021 In this paper, we get the existence of two positive solutions for a fourth-order problem with Navier boundary condition. Our nonlinearity has a critical growth, and the method is a local minimum theorem obtained by Bonanno.
Lin Li, Donal O’Regan
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Topological Methods in Nonlinear Analysis, 2019 We establish a version of the Trudinger-Moser inequality involving unbounded or decaying radial weights in weighted Sobolev spaces. In the light of this inequality and using a minimax procedure we also study existence of solutions for a class of ...
F. Albuquerque, S. Aouaoui
semanticscholar +1 more source
Domain Growth in the Active Model B: Critical and Off-critical Composition [PDF]
, 2021 We study the ordering kinetics of an assembly of {\it active Brownian particles} (ABPs) on a two-dimensional substrate. We use a coarse-grained equation for the composition order parameter $\psi ({\bf r},t)$, where ${\bf r}$ and $t$ denote space and time, respectively. The model is similar to the {\it Cahn-Hilliard equation} or {\it Model B} (MB) for a
arxiv +1 more source
On the existence of ground state solutions to critical growth problems nonresonant at zero [PDF]
arXiv, 2021 We prove the existence of ground state solutions to critical growth $p$-Laplacian and fractional $p$-Laplacian problems that are nonresonant at zero.
arxiv
Singularly Perturbed Fractional Schrödinger Equations with Critical Growth
Advanced Nonlinear Studies, 2018 We are concerned with the following singularly perturbed fractional Schrödinger equation:
He Yi
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Global dynamics above the ground state energy for the combined power-type nonlinear Schrödinger equations with energy-critical growth at low frequencies [PDF]
Memoirs of the American Mathematical Society, 2015 We consider the combined power-type nonlinear Schrödinger equations with energy-critical growth, and study the solutions slightly above the ground state threshold at low frequencies, so that we obtain a so-called nine-set theory developed by Nakanishi ...
Takafumi Akahori +3 more
semanticscholar +1 more source
AIMS Mathematics, 2023 In this paper, we investigate the existence of standing wave solutions to the following perturbed fractional p-Laplacian systems with critical nonlinearity $ \begin{equation*} \left\{ \begin{aligned} &\varepsilon^{ps}(-\Delta)^{s}_{p}u + V(x)|u ...
Shulin Zhang
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Activins Are Critical Modulators of Growth and Survival [PDF]
Molecular Endocrinology, 2003 AbstractActivins βA and βB (encoded by Inhba and Inhbb genes, respectively) are related members of the TGF-β superfamily. Previously, we generated mice with an Inhba knock-in allele (InhbaBK) that directs the expression of activin βB protein in the spatiotemporal pattern of activin βA. These mice were small and had shortened life spans, both influenced
Martin M. Matzuk +3 more
openaire +3 more sources
Existence and Concentration Behavior of Solutions of the Critical Schrödinger–Poisson Equation in
Mathematics, 2021 In this paper, we study the singularly perturbed problem for the Schrödinger–Poisson equation with critical growth. When the perturbed coefficient is small, we establish the relationship between the number of solutions and the profiles of the ...
Jichao Wang, Ting Yu
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