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Nontrivial solutions for nonlinear elliptic problems via Morse theory
Electronic Journal of Differential Equations, 2006 We prove the existence of nontrivial solutions for perturbations of p-Laplacian. Our approach combine minimax arguments and Morse Theory, under the conditions on the behaviors of the perturbed function $f(x,t)$ or its primitive $F(x,t)$ near infinity and
Abdesslem Ayoujil, Abdel R. El Amrouss
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Membranes, 2021 In vitro hemolysis testing is commonly used to determine hemocompatibility of ExtraCorporeal Membrane Oxygenation (ECMO). However, poor reproducibility remains a challenging problem, due to several unidentified influencing factors.
Chris Hoi Houng Chan +11 more
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Continuous Infusion of Iohexol to Monitor Perioperative Glomerular Filtration Rate
International Journal of Nephrology, 2022 Continuous monitoring of the glomerular filtration rate (GFR) in the perioperative setting could provide valuable information about acute kidney injury risk for both clinical and research purposes.
Kjellbjørn Jakobsen +4 more
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A critical point theorem and existence of multiple solutions for a nonlinear elliptic problem
Electronic Journal of Differential Equations, 2015 In this article, we show the existence of multiple nontrivial solutions to a Dirichlet problem for the p-Laplacian. Our approach is based on a abstract critical point theorem.
Abdel Rachid El Amrouss, Fouad Kissi
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The discovery of biological subphenotypes in ARDS: a novel approach to targeted medicine?
Journal of Intensive Care, 2021 The acute respiratory distress syndrome (ARDS) is a severe lung disorder with a high morbidity and mortality which affects all age groups. Despite active research with intense, ongoing attempts in developing pharmacological agents to treat ARDS, its ...
Karin Wildi +5 more
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Critical exponents for groups of isometries [PDF]
Geometriae Dedicata, 2007 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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Multibump solutions and critical groups [PDF]
Transactions of the American Mathematical Society, 2009 We consider the Newtonian system − q ¨ + B ( t ) q = W q ( q , t ) -\ddot q+B(t)q = W_q(q,t) with B B , W W periodic in t ...
ARIOLI, GIANNI, A. SZULKIN, W. ZOU
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Existence and multiplicity of nontrivial solutions for double resonance semilinear elliptic problems
Electronic Journal of Differential Equations, 2002 We consider resonance problems at an arbitrary eigenvalue of the Laplacien. We prove the existence of nontrivial solutions for some semilinear elliptic Dirichlet boundary values problems. We also obtain two nontrivial solutions by using Morse theory.
Abdel R. El Amrouss
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CRITICAL PERCOLATION OF FREE PRODUCT OF GROUPS [PDF]
International Journal of Algebra and Computation, 2008 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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Are multi-cat homes more stressful? A critical review of the evidence associated with cat group size and wellbeing [PDF]
, 2021 Lauren Finka, Rachel Foreman-Worsley
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