Nonlinear elliptic–parabolic problem involving p-Dirichlet-to-Neumann operator with critical exponent

zu Verbundenen Objekten

Abstract: We consider the nonlinear elliptic–parabolic boundary value problem involving the Dirichlet-to-Neumann operator of p-Laplace type at the critical Sobolev exponent. We first obtain the existence and asymptotic estimates of the global solution, and the sufficient conditions of finite time blowup of the solution by using the energy method. Second, we improve the regularity of solution by Moser-type iteration. Finally, we analyze the long-time asymptotic behavior of the global solution. Moreover, with the help of the concentration compactness principle, we present a precise description of the concentration phenomenon of the solution in the forward time infinity.

Standort
Deutsche Nationalbibliothek Frankfurt am Main
Umfang
Online-Ressource
Sprache
Englisch

Erschienen in
Nonlinear elliptic–parabolic problem involving p-Dirichlet-to-Neumann operator with critical exponent ; volume:12 ; number:1 ; year:2023 ; extent:23
Advances in nonlinear analysis ; 12, Heft 1 (2023) (gesamt 23)

Urheber
Deng, Yanhua
Tan, Zhong
Xie, Minghong

DOI
10.1515/anona-2022-0306
URN
urn:nbn:de:101:1-2023032814192706024468
Rechteinformation
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Letzte Aktualisierung
14.08.2025, 10:54 MESZ

Datenpartner

Dieses Objekt wird bereitgestellt von:
Deutsche Nationalbibliothek. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Original beim Datenpartner anzeigen

Beteiligte

  • Deng, Yanhua
  • Tan, Zhong
  • Xie, Minghong

Ähnliche Objekte (12)

Reduced measures for semilinear elliptic equations involving Dirichlet operators

Reduced measures for semilinear elliptic equations involving Dirichlet operators

Elliptic and parabolic equations involving the hardy-leray potential

Elliptic and parabolic equations involving the hardy-leray potential

Fujita exponent for non-local parabolic equation involving the Hardy–Leray potential

Fujita exponent for non-local parabolic equation involving the Hardy–Leray potential

Solutions for the quasi-linear elliptic problems involving the critical Sobolev exponent

Solutions for the quasi-linear elliptic problems involving the critical Sobolev exponent

On the removability of isolated singular points for elliptic equations involving variable exponent

On the removability of isolated singular points for elliptic equations involving variable exponent

Critical growth elliptic problems involving Hardy-Littlewood-Sobolev critical exponent in non-contractible domains

Critical growth elliptic problems involving Hardy-Littlewood-Sobolev critical exponent in non-contractible domains

Quasilinear elliptic parabolic differential equations

Quasilinear elliptic parabolic differential equations

ELLIPTIC AND PARABOLIC DIFFERENTIAL INEQUALITIES

ELLIPTIC AND PARABOLIC DIFFERENTIAL INEQUALITIES

Liouville theorems and elliptic gradient estimates for a nonlinear parabolic equation involving the Witten Laplacian

Liouville theorems and elliptic gradient estimates for a nonlinear parabolic equation involving the Witten Laplacian

Journal of elliptic and parabolic equations

Zeitschrift

Journal of elliptic and parabolic equations

Further existence results for elliptic–parabolic and forward–backward parabolic equations

Further existence results for elliptic–parabolic and forward–backward parabolic equations

Local Elliptic Regularity for the Dirichlet Fractional Laplacian

Local Elliptic Regularity for the Dirichlet Fractional Laplacian

Verbundene Objekte