Existence results for non-autonomous elliptic boundary value problems
$$-Delta u(x) = lambda f(x, u);quad x in Omega$$ $$u(x) + alpha(x) frac{partial u(x)}{partial n} = 0;quad x in partial Omega$$ where $lambda > 0$, $Omega$ is a bounded region in $Bbb{R}^N$; $N geq 1$ with smooth boundary $partial Omega$, $alpha(x) geq 0$,
V. Anuradha, S. Dickens, R. Shivaji
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On the maximal monotonicity of the sum of a maximal monotone linear relation and the subdifferential operator of a sublinear function [PDF]
Heinz H. Bauschke +2 more
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Existence and multiplicity of solutions to a p-Laplacian equation with nonlinear boundary condition
We study the nonlinear elliptic boundary value problem $$ A u = f(x,u) quad { m in }Omega,,$$ $$ Bu = g(x,u) quad { m on }partial Omega,,$$ where $A$ is an operator of p-Laplacian type, $Omega$ is an unbounded domain in ${Bbb R}^N$ with non-compact ...
Klaus Pflueger
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Pointwise multiple averages for sublinear functions [PDF]
Sebastián Donoso +2 more
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R-DOCO: Resilient Distributed Online Convex Optimization Against Adversarial Attacks
This paper addresses the problem of distributed constrained optimization in a multi-agent system where some agents may deviate from the prescribed update rules due to failures or malicious adversarial attacks.
Zhixiang Kong +2 more
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A general law of the iterated logarithm for non-additive probabilities
Motivated by some interesting problems in mathematical economics, quantum mechanics and finance, non-additive probabilities have been used to describe the phenomena which are generally non-additive. In this paper, we further study the law of the iterated
Zhaojun Zong, Miaomiao Gao, Feng Hu
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Nonhomogeneous quasilinear elliptic systems with small perturbations and lack of compactness
We 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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Bimodal nonlinear dendrites in PV+ basket cells drive distinct memory-related oscillations. [PDF]
Tzilivaki A, Larkum ME, Schmitz D.
europepmc +2 more sources
Product generalized local Morrey spaces and commutators of\n multi-sublinear operators generated by multilinear Calder\\'on-Zygmund\n operators and local Campanato functions [PDF]
Feri̇t Gürbüz
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