Results 31 to 40 of about 65,671 (226)
Morphometric analysis of sub-basins Fojo and Perdizes in the city of Campos do Jordão, SP, Brazil
Revista Ambiente & Água, 2012 The State of São Paulo Water Resources Policy established, in 1991, the Integrated Water Resources Management System (SIGRHI) and defined the basic principles for water management, adopting the watershed as the basic unit for studies, integrated planning
Nelson Wellausen Dias +3 more
doaj +1 more source
Lower Semicontinuity of Functionals via the Concentration-Compactness Principle
Journal of Mathematical Analysis and Applications, 2001 AbstractIn this paper we show the weak lower semicontinuity of some classes of functionals, using the concentration-compactness principle of P. L. Lions. These functionals involve an integral term, and we do not know whether it can be handled by the De Giorgi theorem.
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, 2020 In this paper, we consider a class of non-cooperative critical nonlocal equation system with variable exponents of the form: $$ \left\{ \begin{array}{lll} -(-\Delta)_{p(\cdot,\cdot)}^su - |u|^{p(x)-2}u = F_u(x,u,v) + |u|^{q(x)-2}u, \quad &\mbox{in ...
Yueqiang Song, S. Shi
semanticscholar +1 more source
Symmetrization and minimax principles
, 2005 We develop a method to prove that some critical levels for functionals invariant by symmetry obtained by minimax methods without any symmetry constraint are attained by symmetric critical points.
Jean Van Schaftingen
semanticscholar +1 more source
Concentration-Compactness Principle for embedding into multiple exponential spaces [PDF]
Mathematical Inequalities & Applications, 2012 Let Ω⊂Rn , n 2 , be a bounded domain and let α < n−1 . We prove the ConcentrationCompactness Principle for the embedding of the Orlicz-Sobolev space W 1 0 L n logn−1 L logα logL(Ω) into the Orlicz space corresponding to a Young function that behaves like exp(exp(t n n−1−α )) for large t .
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A study and an application of the concentration compactness type principle
, 2019 In this article we develop a concentration compactness type principle in a variable exponent setup. As an application of this principle we discuss a problem involving fractional `{\it $(p(x),p^+)$-Laplacian}' and power nonlinearities with exponents $(p^+)^*$, $p_s^*(x)$ with the assumption that the critical set $\{x\in :p_s^*(x)=(p^+)^*\}$ is nonempty.
Panda, Akasmika, Choudhuri, Debajyoti
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Palais-Smale approaches to semilinear elliptic equations in unbounded domains
Electronic Journal of Differential Equations, 2004 Let \(\Omega\) be a domain in \(\mathbb{R}^{N}\), \(N\geq1\), and \(2^{\ast}=\infty\) if \(N=1,2\), \(2^{\ast}=\frac{2N}{N-2}\) if \(N\) is greater than 2, \(2 < p < 2^{\ast}\). Consider the semilinear elliptic problem $$\displaylines{ -\Delta u+u=|u|^{p-
semanticscholar +1 more source
Making tau amyloid models in vitro: a crucial and underestimated challenge
FEBS Letters, EarlyView.This review highlights the challenges of producing in vitro amyloid assemblies of the tau protein. We review how accurately the existing protocols mimic tau deposits found in the brain of patients affected with tauopathies. We discuss the important properties that should be considered when forming amyloids and the benchmarks that should be used to ...
Julien Broc, Clara Piersson, Yann Fichou
wiley +1 more source
FEBS Letters, EarlyView.Interaction extracellular vesicles (iEVs) are hybrid vesicles formed through host‐pathogen communication. They facilitate immune evasion, transfer pathogens' molecules, increase host cell uptake, and enhance virulence. This Perspective article illustrates the multifunctional roles of iEVs and highlights their emerging relevance in infection dynamics ...
Bruna Sabatke +2 more
wiley +1 more source
A stepwise emergence of evolution in the RNA world
FEBS Letters, EarlyView.How did biological evolution emerge from chemical reactions? This perspective proposes a gradual scenario of self‐organization among RNA molecules, where catalytic feedback on random mixtures plays the central role. Short oligomers cross‐ligate, and self‐assembly enables heritable variations. An event of template‐externalization marks the transition to
Philippe Nghe
wiley +1 more source