Zobrazeno 1 - 10
of 836
pro vyhledávání: '"35p30"'
Autor:
Choi, Mi-Ran, Lee, Young-Ran
We consider the variational problem with a mass constraint arising from the two-dimensional dispersion managed nonlinear Schr\"odinger equation with power-law type nonlinearity. We prove a threshold phenomenon with respect to mass for the existence o
Externí odkaz:
http://arxiv.org/abs/2409.14686
Autor:
Vougalter, Vitali
We prove the existence of stationary solutions for some systems of reaction-diffusion type equations with superdiffusion in the corresponding H^2 spaces. Our method is based on the fixed point theorem when the elliptic problems contain first order di
Externí odkaz:
http://arxiv.org/abs/2409.09507
We study an {\it indefinite weighted eigenvalue problem} for an operator of {\it mixed-type} (that includes both the classical {\it $p$-Laplacian} and the {\it fractional $p$-Laplacian}) in a bounded open subset $\Omega\subset \mathbb{R}^N \,(N\geq2)
Externí odkaz:
http://arxiv.org/abs/2409.01349
Autor:
Exner, Pavel, Kovarik, Hynek
In this note we consider achieving the largest principle eigenvalue of a Robin Laplacian on a bounded domain $\Omega$ by optimizing the Robin parameter function under an integral constraint. The main novelty of our approach lies in establishing a clo
Externí odkaz:
http://arxiv.org/abs/2408.11636
Autor:
Bahn, Byeong-Ho
The study of parameter-dependent partial differential equations (parametric PDEs) with countably many parameters has been actively studied for the last few decades. In particular, it has been well known that a certain type of parametric holomorphy of
Externí odkaz:
http://arxiv.org/abs/2408.01227
Autor:
Garain, Prashanta
This article is twofold. In the first part of the article, we consider Brezis-Oswald problem involving the mixed anisotropic and nonlocal $p$-Laplace operator and establish existence, uniqueness, boundedness and strong maximum principle. Further, for
Externí odkaz:
http://arxiv.org/abs/2407.17928
Autor:
Vougalter, Vitali, Volpert, Vitaly
We address the existence in the sense of sequences of solutions for a certain integro-differential type problem involving the logarithmic Laplacian. The argument is based on the fixed point technique when such equation contains the operator without t
Externí odkaz:
http://arxiv.org/abs/2406.16126
Autor:
Shao, Sihong, Yang, Chuan
The existing inverse power ($\mathbf{IP}$) method for solving the balanced graph cut lacks local convergence and its inner subproblem requires a nonsmooth convex solver. To address these issues, we develop a simple inverse power ($\mathbf{SIP}$) meth
Externí odkaz:
http://arxiv.org/abs/2405.18705
Autor:
Gambera, Laura, Guarnotta, Umberto
Moving from the seminal papers by Bobkov and Tanaka \cite{BT,BT2,BT3} on the spectrum of the $(p,q)$-Laplacian, we analyze the case of the double-phase operator. We discuss the region of parameters in which existence and non-existence of positive sol
Externí odkaz:
http://arxiv.org/abs/2405.16147
Autor:
Gallagher, A. -K.
It is shown that the $p$-Poincar\'e inequality holds on an open set $\Omega$ in $\mathbb{R}^n$ if and only if the strict $p$-capacitary inradius of $\Omega$ is finite. To that end, new upper and lower bounds for the infimum for the associated nonline
Externí odkaz:
http://arxiv.org/abs/2404.19207