On the critical p-laplace equation
WebUnder the assumption of finite energy, positive solutions to the critical p-Laplace equation in $\mathbb{R}^n$ for $1< p Web11 de out. de 2024 · Under the assumption of finite energy, positive solutions to the critical p-Laplace equation in R n for 1 < p < n have been classified completely by moving plane method. In this paper, the author provide a new approach to obtain the same classification results for n +1 3 ≤ p < n , without any further assumptions.
On the critical p-laplace equation
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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 … Webbrated 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 …
WebWe note that the value of the critical Sobolev-Stein exponent for the Kohn-Laplace equation can be computed using the symmetry approach to criticality of semilinear differ-ential equations proposed in [15]. The existence of solutions of (1.1) with critical nonlinearity f(u) = u Q+2 Q−2, in Hn, is ensured by a result of Citti and Uguzzoni in ... Web6 de abr. de 2024 · Abstract: In this note, we obtain a classification result for positive solutions to the critical p-Laplace equation in $\mathbb{R}^n$ with $n\ge4$ and …
Web30 de jul. de 2016 · In this paper, we study the (p, q)-Laplace equation in a bounded domain under the Dirichlet boundary condition. We give a sufficient condition of the nonlinear term for the existence of a sequence of solutions converging to zero or diverging to infinity. Moreover, we give a priori estimates of the C 1-norms of solutions under a … Web14 de abr. de 2024 · In this paper we provide the classification of positive solutions to the critical $p-$Laplace equation on $\mathbb{R}^n$, for $1
Web1 de jan. de 1998 · Monotonicity and symmetry of solutions of p-Laplace equations, 1 < p < 2 , via the moving plane method Annali della Scuola Normale Superiore di Pisa, Classe di Scienze 4 e série , tome 26, n o 4
Web28 de dez. de 2024 · DOI: 10.5269/bspm.63341 Corpus ID: 257677934; Weak solution to p(x)-Kirchoff type problems under no-flux boundary condition by topological degree @article{Yacini2024WeakST, title={Weak solution to p(x)-Kirchoff type problems under no-flux boundary condition by topological degree}, author={Soukaina Yacini and Chakir … camping builth wellsWeb12 de fev. de 2024 · Solutions of p-Laplace equation. where B 1 ( 0) is the unitary ball of R N and Δ p u = div ( ‖ ∇ u ‖ p − 2 ∇ u) , there exists a weak solution of the form: u ( x) = C … camping buitenland alphenWeb2 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. … camping bug repellent deviceWebON 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), … first watch lexington ky menu with pricesWeb19 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) ... camping buitenpost twelloWebthere results the Laplace operator Δ. The ultimate interest is to study the classical solutions of the equation Lu = f for a given data f. The study of Laplace equation Δ u =0 and Poisson equation Δ u = f ( potential theory) gives a starting point for the general theory of Lu = f. The Schauder theory provides a general theory for Lu = f when ... camping bulletin boardWeb31 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 … camping buitenland floortje dessing