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Critical exponents for groups of isometries [PDF]
Let \(\Gamma\) be a free group acting by isometries on a \(\text{CAT}(-1)\) space \((X,d_X)\) as a convex co-compact group and let \(\Gamma_0\) be a normal subgroup. The author shows that if the quotient group \(\Gamma/\Gamma_0\) is amenable, then \(\delta(\Gamma_0)=\delta(\Gamma)\).
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ABSTRACT Background Survivors of pediatric brain tumors (PBTs) can experience long‐term social difficulties, impacting quality of life. Beyond medical and environmental factors, family psychosocial risk may play a role in social outcomes by shaping the caregiving environment and may provide intervention options.
Renske H. Houben +4 more
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Nontrivial solutions for resonance quasilinear elliptic systems
We establish an Amann-Zehnder-type result for resonance systems of quasilinear elliptic equations with homogeneous Dirichlet boundary conditions, involving nonlinearities growing asymptotically (p,q)\left(p,q)-linear at infinity.
Borgia Natalino +2 more
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Multiplicity of solutions for nonautonomous ($p,q$)-equations
We consider a nonlinear Dirichlet problem driven by a nonautonomous $(p,q)$-Laplacian and a Carathéodory reaction which is $(p-1)$-linear near $\pm\infty$.
Jiangfeng Han +2 more
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Existence and Multiplicity of Solutions for Resonant (p,2)-Equations
We consider Dirichlet elliptic equations driven by the sum of a p-Laplacian ...
Papageorgiou Nikolaos S. +2 more
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Making a positive difference: Criticality in groups
How critical are individual members perceived to be for their group's performance? In this paper, we show that judgments of criticality are intimately linked to considering responsibility. Prospective responsibility attributions in groups are relevant across many domains and situations, and have the potential to influence motivation, performance, and ...
Tobias Gerstenberg +2 more
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Weconsider a nonlinear elliptic problem driven by the p-Laplacian, where the right hand side nonlinearity exhibits a p-linear behavior near infinity and the Euler functional of the problem need not be coercive and, in fact, can be indefinite.
Rocha, EM +5 more
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ABSTRACT Background Numerous international studies have reported declines in new cancer diagnoses, delayed diagnoses and disruptions in cancer treatment following the implementation of COVID‐19 pandemic public health measures, raising concerns that these effects may ultimately contribute to increased cancer mortality.
Friederike Erdmann +8 more
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Critical groups of group representations
8 ...
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CRITICAL PERCOLATION OF FREE PRODUCT OF GROUPS [PDF]
In this article we study percolation on the Cayley graph of a free product of groups.The critical probability pcof a free product G1* G2* ⋯ * Gnof groups is found as a solution of an equation involving only the expected subcritical cluster size of factor groups G1, G2, …, Gn.
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