On the critical p-laplace equation
WebON A p{LAPLACE EQUATION WITH MULTIPLE CRITICAL NONLINEARITIES ROBERTA FILIPPUCCI, PATRIZIA PUCCI, AND FRED ERIC ROBERT Abstract. Using the Mountain{Pass Theorem of Ambrosetti and Rabinowitz we prove that sp pu p jxj up 1 = jxj u?(s) 1 +up? 1 admits a positive weak solution in R nof class Dp 1 (R n) \C1(R nf0g), …
On the critical p-laplace equation
Did you know?
Web2 de mai. de 2024 · We consider the Cauchy problem ( D ( k ) u ) ( t ) = λ u ( t ) , u ( 0 ) = 1 , where D ( k ) is the general convolutional derivative introduced in the paper (A. N. Kochubei, Integral Equations Oper. Theory 71 (2011), 583–600), λ > 0 . The solution is a generalization of the function t ↦ E α ( λ t α ) , where 0 < α < 1 , E α is the … WebSOLUTIONS TO THE CRITICAL P-LAPLACE EQUATION IN Rn JER OME V^ ETOIS Abstract. In this note, we obtain a classi cation result for pos-itive solutions to the critical …
Web22 de jun. de 2024 · Key words and phrases. p-Laplacian equation; critical exponent; ground state solution; mountain pass theorem. ©2024. This work is licensed under a CC BY 4.0 license. Submitted June 22, 2024. Published December 24, 2024. 1. 2 P. XIA, Y. SU EJDE-2024/102 It is well known that = N p p p is the best constant in the Hardy … Web主讲人： 杜歌阳（BICMR）. 活动时间： 从 2024-04-17 15:00 到 16:30. 场地： 北京国际数学研究中心，全斋全29教室. Abstract: This talk is about the properties of singular solutions of p-Laplace Henon equation. In the recent submitted paper, we give some apriori estimates of positive radial solutions of p-Laplace ...
Web18 de jul. de 2024 · Abstract. In this paper, we deal with a singular quasilinear critical elliptic equation of Lichnerowicz type involving the p -Laplacian operator. With the help of the … Web11 de out. de 2024 · Under the assumption of finite energy, positive solutions to the critical p-Laplace equation in $\\mathbb{R}^n$ for $1< p
Web29 de dez. de 2024 · This equation is a natural extension of the heat equations with combined nonlinearities considered by Jleli-Samet-Souplet (Proc AMS, 2024). Firstly, we focus on an interesting phenomenon of discontinuity of the critical exponents. In particular, we will fill the gap in the results of Jleli-Samet-Souplet for the critical case.
Web19 de mar. de 2016 · Symmetry of ground states of p-Laplace equations via the moving plane method. Arch. Ration. Mech. Anal., 148 (1999), pp. 291-308. View in Scopus Google Scholar [6] ... A priori estimates and application to the symmetry of solutions for critical p-Laplace equations. J. Differential Equations, 260 (1) ... darst brune and associates llcWebGiven n 2 and 1 dar star teachersWebTHE CRITICAL P-LAPLACE EQUATION QIANZHONG OU Abstract. Under the assumption of finite energy, positive solutions to the critical p-Laplace equation in Rn for 1 … darst ave dayton ohioWebThe function p in the integral form can be replaced by p x = g. If g is replaced by − div u we get the continuity equation p x + div u = 0. However the purpose of this paper is to deal with a zero boundary value problem for the Laplace equation with the “unbounded” right hand side across the streamline emanating from the non-convex vertex. bissell powerease 76r9Web31 de jan. de 2024 · A short account of recent existence and multiplicity theorems on the Dirichlet problem for an elliptic equation with ( p, q) -Laplacian in a bounded domain is performed. Both eigenvalue problems and different … darst chokeWeb19 de nov. de 2024 · For p-Laplacian equations involving critical growth, please see [10, 13, 20] and the references therein. ... Degiovanni, M., Lancelotti, S.: Linking solutions for … bissell powerease 2253 partsWebbrated Laplace equation. This is the prototype for linear elliptic equations. It is less well-known that it also has a non-linear counterpart, the so-called p-Laplace equation (or p … darst creek processing