Results 21 to 30 of about 5,077 (166)

A Picone's identity for the p(x)-Laplace equations and its applications [PDF]

Mathematical Inequalities & Applications, 2021
Summary: In this paper, we present a Picone identity for the \(p(x)\)-Laplace equations and establish some applications of this formula, such as Caccioppoli inequalities, nonexistence of positive supersolutions, domain monotonicity property, uniqueness and simplicity of the first eigenvalue, Hardy type inequality, Barta-type inequality, a nonlinear ...
openaire   +2 more sources

Existence of positive solutions for nonlinear Dirichlet problems with gradient dependence and arbitrary growth

Electronic Journal of Qualitative Theory of Differential Equations, 2018
We consider a nonlinear elliptic problem driven by the Dirichlet $p$-Laplacian and a reaction term which depends also on the gradient (convection). No growth condition is imposed on the reaction term $f(z, \cdot,y)$.
Nikolaos Papageorgiou, Calogero Vetro, Francesca Vetro   +2 more
doaj   +1 more source

Existence and global behavior of weak solutions to a doubly nonlinear evolution fractional p-Laplacian equation

Electronic Journal of Differential Equations, 2021
In this article, we study a class of doubly nonlinear parabolic problems involving the fractional p-Laplace operator. For this problem, we discuss existence, uniqueness and regularity of the weak solutions by using the time-discretization method and ...
Jacques Giacomoni, Abdelhamid Gouasmia, Abdelhafid Mokrane   +2 more
doaj  

Oscillatory Property of Solutions for p(t)-Laplacian Equations

Journal of Inequalities and Applications, 2007
We consider the oscillatory property of the following p(t)-Laplacian equations −(|u'|p(t)−2u')'=1/tθ(t)g(t,u), t>0. Since there is no Picone-type identity for p(t)- Laplacian equations, it is an unsolved problem that whether the Sturmian ...
Qihu Zhang
doaj   +1 more source

${L^p}$-Liouville Theorems for Invariant Partial Differential Operators in ${\mathbb{R}^n}$

, 2014
We prove some $L^p$-Liouville theorems for hypoelliptic second order Partial Differential Operators left translation invariant with respect to a Lie group composition law in $\mathbb{R}^n$.
Kogoj, Alessia E., Lanconelli, Ermanno
core   +1 more source

Local scale-invariance in ageing phenomena

, 1999
Many materials quenched into their ordered phase undergo ageing and there show dynamical scaling. For any given dynamical exponent z, this can be extended to a new form of local scale-invariance which acts as a dynamical symmetry.
Apalkov, Vladimir M., Bichler, Max, Broocks, Kay-Birger, Chakraborty, Tapash, Heitmann, Detlef, Heyn, Christian, Schröter, Patrick, Schüller, Christian, Wegscheider, Werner   +8 more
core   +2 more sources

A thermoplastic microfluidic platform with integrated electrospun scaffolds for assessing brain cell‐specific drug selectivity

VIEW, EarlyView.
Schematic representation of the microfluidic platform with its advantages. Abstract A major challenge in pharmacology is the limited selectivity of therapeutic compounds toward specific tissues or cells. Drugs often distribute systemically before reaching the intended site of action, affecting nontarget cells and potentially reducing efficacy or ...
Maria Testa, Laura Palumbo, Martina La Rosa, Antonella Girgenti, Fabio Salvatore Palumbo, Pasquale Picone, Francesco Lopresti, Domenico Nuzzo, Vincenzo La Carruba   +8 more
wiley   +1 more source

Picone identities for ordinary differential equations of fourth order [PDF]

, 2004
It is known that there are two kinds of Picone identities for fourth order ordinary differential equations.
Tanigawa Tomoyuki, Yoshida Norio
core   +1 more source

Thermal Instability-Induced Interstellar Turbulence

, 2002
We study the dynamics of phase transitions in the interstellar medium by means of three-dimensional hydrodynamic numerical simulations. We use a realistic cooling function and generic nonequilibrium initial conditions to follow the formation history of a
Alexei G. Kritsuk, Hennebelle P., Hunter J. H., Jr., Kritsuk A. G., Kritsuk A. G., Meerson V. I., Michael L. Norman, Pikel’ner S. B., Sasorov P. V., Shchekinov Yu. A., Zel'dovich Ya. B.   +10 more
core   +1 more source

Fate of orphans of Canada geese harvested by hunters in Connecticut, USA, depends upon which month the parents were killed

Wildlife Biology, EarlyView.
Little is known about what happens to juvenile birds after one or both of their parents are harvested by hunters during the post‐fledging dependency period. Here, we compare the fate of juvenile Canada geese Branta canadensis that lost ≥ 1 parent to hunters (orphans) during this period to other juveniles that retained both parents (non‐orphans). For 25
Michael R. Conover, Lauren J. Head
wiley   +1 more source