Positive solutions for thep-Laplacian with dependence on the gradient [PDF]
We prove a result of existence of positive solutions of the Dirichlet problem for $- _p u=\mathrm{w}(x)f(u,\nabla u)$ in a bounded domain $ \subset\mathbb{R}^N$, where $ _p$ is the $p$-Laplacian and $\mathrm{w}$ is a weight function. As in previous results by the authors, and in contrast with the hypotheses usually made, no asymptotic behavior is ...
Hamilton Bueno+3 more
openalex +4 more sources
On periodic elliptic equations with gradient dependence
We construct entire solutions of $\Delta u=f(x,u,\nabla u)$ which are superpositions of odd, periodic functions and linear ones, with prescribed integer or rational slope.
M. Berti, M. Matzeu, E. Valdinoci
semanticscholar +6 more sources
Nonlinear Elliptic Inclusions with Unilateral Constraint and Dependence on the Gradient [PDF]
We consider a nonlinear Neumann elliptic inclusion with a source (reaction term) consisting of a convex subdifferential plus a multivalued term depending on the gradient.
Nikolaos S. Papageorgiou+2 more
semanticscholar +6 more sources
Solvability of quasilinear elliptic equations with strong dependence on the gradient [PDF]
We study the problem of existence of positive, spherically symmetric strong solutions of quasilinear elliptic equations involving p-Laplacian in the ball. We allow simultaneous strong dependence of the right-hand side on both the unknown function and its
Darko Žubrinić
doaj +2 more sources
Color Gradients in Early-type Galaxies: Dependence on Environment and Redshift [PDF]
Color gradients in early-type galaxies contain valuable clues about their formation and evolutionary histories and mechanisms. We examine color gradients in 1,700 early-type galaxies in 159 galaxy clusters spanning a redshift range of 0.05 to 0.2. We find that color gradients strongly depend on the environment where galaxies reside, with steeper color ...
F. La Barbera+6 more
arxiv +3 more sources
Nonlinear Robin problems with unilateral constraints and dependence on the gradient [PDF]
We consider a nonlinear Robin problem driven by the p-Laplacian, with unilateral constraints and a reaction term depending also on the gradient (convection term). Using a topological approach based on fixed point theory (the Leray-Schauder alternative
Nikolaos S. Papageorgiou+2 more
doaj +1 more source
Dependence of bacterial chemotaxis on gradient shape and adaptation rate.
Simulation of cellular behavior on multiple scales requires models that are sufficiently detailed to capture central intracellular processes but at the same time enable the simulation of entire cell populations in a computationally cheap way.
Nikita Vladimirov+3 more
doaj +5 more sources
Inter-ELM pedestal turbulence dynamics dependence on q95 and temperature gradient
A series of dedicated experiments from the DIII-D tokamak provide spatially and temporally resolved measurements of electron density and temperature, and multiscale and multichannel fluctuations over a wide range of conditions.
Z. Yan+11 more
doaj +2 more sources
Complicated dynamics of parabolic equations with simple gradient dependence [PDF]
Let Q c JR2 be a smooth bounded domain. Given positive integers n, k and ql 0, (X,Y) y U=01 ~1=1 t > O, (X, S) C '9Q. where a(x, y) and al (x, y) are smooth functions.
M. Prizzi, K. P. Rybakowski
semanticscholar +4 more sources
Hamilton-Jacobi-Bellman equations with fast gradient-dependence [PDF]
We investigate existence, uniqueness, and regular- ity properties for a class of H-J-B equations arising in non-linear control problems with unbounded controls.
Franco Rampazzo, Caterina Sartori
openalex +2 more sources