Results 61 to 70 of about 366,215 (335)
Regularity for solutions to nonlinear elliptic equations
Differential and Integral Equations, 2013 Let $\Omega$ be a domain of ${\mathbb R}^N$, $N>2.$ We establish higher integrability for solutions $u \in W^{1,p}_{\text{loc}}(\Omega)$ of nonlinear PDEs whose prototype~is \begin{equation*} \text{div\,}[|\nabla u|^{p-2}\nabla u +B(x)|u|^{p-2}u]=\text{div\,}(|F|^{p-2}F) \end{equation*} with $1 < p < N$.
GRECO, LUIGI +2 more
openaire +3 more sources
Nonlinear Elliptic Equations with Singular Terms and Combined Nonlinearities [PDF]
Annales Henri Poincaré, 2011 We consider nonlinear elliptic Dirichlet problems with a singular term, a concave (i.e., (p − 1)-sublinear) term and a Caratheodory perturbation. We study the cases where the Caratheodory perturbation is (p − 1)-linear and (p − 1)-superlinear near +∞. Using variational techniques based on the critical point theory together with truncation arguments and
Gasiński, Leszek +1 more
openaire +3 more sources
Advanced Science, EarlyView.Solution‐processed approach for integration of Fe2O3/WS2 nano‐hybrid composite memristor devices. Remarkable switching characteristics and excellent durability for up to 105 cycles. The device shows ultra‐low energy consumption of 0.072 pJ and excellent environmental stability.
Faisal Ghafoor +11 more
wiley +1 more source
Bioinspired Mechanisms and Actuation of Soft Robotic Crawlers
Advanced Science, EarlyView.Researchers have been developing soft materials and robotic crawlers inspired by soft‐bodied animals to mimic effective crawling in complex environments. This review explores the state‐of‐the‐art in soft crawlers, highlighting the interaction between materials, crawling mechanisms, actuation, and applications. The review concludes by providing insights
Min Pan +6 more
wiley +1 more source
survey on boundary regularity for the fractional p-Laplacian and its applications
Bruno Pini Mathematical Analysis SeminarWe survey some recent regularity results for fractional p-Laplacian elliptic equations, especially focusing on pure and weighted boundary Hölder continuity of the solutions of related Dirichlet problems. Then, we present some applications of such results
Antonio Iannizzotto
doaj +1 more source
Homogeneous Solutions to Fully Nonlinear Elliptic Equations [PDF]
arXiv, 2005 We classify homogeneous degree $d\neq2$ solutions to fully nonlinear elliptic equations.
arxiv
The Dirichlet problem for degenerate fully nonlinear elliptic equations on Riemannian manifolds [PDF]
arXiv, 2022 We derive the existence of $C^{1,1}$-solutions to the Dirichlet problem for degenerate fully nonlinear elliptic equations on Riemannian manifolds under appropriate assumptions.
arxiv
Tunable Polariton Rabi Oscillation in Phase‐Changing Perovskite Microcavities
Advanced Science, EarlyView.This work demonstrated the tunable Rabi oscillation of exciton‐polaritons in MAPbBr3 perovskites due to the emergence of ferroelectricity during the crystallographic phase transition. Both the Rabi oscillation and exciton oscillator strength exhibit an unusual temperature dependence that is related to the emergence of ferroelectricity in the tetragonal
Hyeon‐Seo Choi +11 more
wiley +1 more source
Positive Solutions of Elliptic Kirchhoff Equations
Advanced Nonlinear Studies, 2017 We prove several existence results for some nonlinear elliptic Kirchhoff equations.
Ambrosetti Antonio, Arcoya David
doaj +1 more source
Maximum principles for viscosity solutions of weakly elliptic equations
Bruno Pini Mathematical Analysis Seminar, 2019 Maximum principles play an important role in the theory of elliptic equations. In the last decades there have been many contributions related to the development of fully nonlinear equations and viscosity solutions.
Antonio Vitolo
doaj +1 more source