Results 31 to 40 of about 2,769,215 (334)
Some results about semilinear elliptic problems on half-spaces
We prove some new results about the growth, the monotonicity and the symmetry of (possibly) unbounded non-negative solutions of −∆u = f (u) on half-spaces, where f is merely a locally Lipschitz continuous function.
Alberto Farina
doaj +1 more source
A comparison principle and extension of equivariant maps
This work unifies and extends many generalizations of Borsuk's theorem. The authors prove an equivariant version of the Kuratowski-Dugundji Theorem. In order to do this, they show the existence of a (quasi)- fundamental domain for any free action of a compact Lie group on a metric space \(X\).
Zalman Balanov +3 more
openaire +2 more sources
We obtain a new Liouville comparison principle for weak solutions (u,v) of semilinear parabolic second-order partial differential inequalities of the form ut-ℒu-|u|q-1u≥vt-ℒv-|v|q-1v(*)$u_t -{\mathcal {L}}u- |u|^{q-1}u\ge v_t -{\mathcal {L}}v- |v|^{q-1}v\
Kurta Vasilii V.
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Rethinking the Principle of Fair Play [PDF]
The principle of fair play is widely thought to require simply that costs and benefits be distributed fairly. This gloss on the principle, while not entirely inaccurate, has invited a host of popular objections based on misunderstandings about fair play.
Tosi, Justin
core
Exploring lipid diversity and minimalism to define membrane requirements for synthetic cells
Designing the lipid membrane of synthetic cells is a complex task, in which its various roles (among them solute transport, membrane protein support, and self‐replication) should all be integrated. In this review, we report the latest top‐down and bottom‐up advances and discuss compatibility and complexity issues of current engineering approaches ...
Sergiy Gan +2 more
wiley +1 more source
On the comparison principle in the calculus of variations
On etudie des integrales variationnelles de la forme I(u,D)=∫ D F(x,⊇u(x))dx,DCG.
openaire +4 more sources
A distance comparison principle for evolving curves [PDF]
The author investigates the quotient of extrinsic distance \(d=|\gamma(p)-\gamma(q)|\) and intrinsic distance \(l=\int_p^qds\) for points \(p, q\) on an embedded curve \(\gamma\) in the plane evolving by the curve shortening flow. In the case of closed curves, \(l\) is replaced by \((L/\pi)\sin(l\pi/L)\) where \(L\) is the length of \(\gamma\).
openaire +4 more sources
A comparison principle for random walk on dynamical percolation [PDF]
40 pages. Submitted. This is a revised version of the previously titled "Random walk on dynamical percolation".
Hermon, Jonathan, Sousi, Perla
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Novel and unscrutinized immune entities of the zebrafish gut
Understudied cells of the zebrafish immune system include bona fide immune cells and epithelial (‐derived) cells with immune functions. Research focusing on zebrafish cells which demonstrate similarities to mammalian immune cell counterparts may help us understand the pathologies in which they are implicated. Currently available and advanced tools make
Audrey Inge Schytz Andersen‐Civil +5 more
wiley +1 more source
Equivalence of solutions for non-homogeneous $ p(x) $-Laplace equations
We establish the equivalence between weak and viscosity solutions for non-homogeneous $ p(x) $-Laplace equations with a right-hand side term depending on the spatial variable, the unknown, and its gradient.
María Medina , Pablo Ochoa
doaj +1 more source

