Results 71 to 80 of about 88,801 (291)
Solvability of quasilinear elliptic equations with strong dependence on the gradient
Abstract and Applied Analysis, 2000 We study the problem of existence of positive, spherically symmetric strong solutions of quasilinear elliptic equations involving p-Laplacian in the ball. We allow simultaneous strong dependence of the right-hand side on both the unknown function and its
Darko Žubrinić
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Review of conceptual and empirical approaches to characterize infiltration
Vadose Zone Journal, Volume 24, Issue 1, January/February 2025.Abstract Infiltration regulates the movement and storage of water at the soil–atmosphere interface and is, therefore, a key component of many related physical and biogeochemical processes. Numerous studies have examined infiltration over the past two centuries.
Christelle Basset +8 more
wiley +1 more source
Entire solutions of quasilinear elliptic systems on Carnot Groups
, 2013 We prove general a priori estimates of solutions of a class of quasilinear elliptic system on Carnot groups. As a consequence, we obtain several non existence theorems.
D'Ambrosio, Lorenzo, Mitidieri, Enzo
core +1 more source
Positive solutions of critical quasilinear elliptic problems in general domains
Abstract and Applied Analysis, 1998 We consider a certain class of quasilinear elliptic equations with a term in the critical growth range. We prove the existence of positive solutions in bounded and unbounded domains.
Filippo Gazzola
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Entire solutions of quasilinear elliptic equations
Journal of Mathematical Analysis and Applications, 2009 AbstractWe study entire solutions of non-homogeneous quasilinear elliptic equations, with Eqs. (1) and (2) below being typical. A particular special case of interest is the following: Let u be an entire distribution solution of the equation Δpu=|u|q−1u, where p>1. If q>p−1 then u≡0.
openaire +2 more sources
Global solutions to semilinear parabolic equations driven by mixed local–nonlocal operators
Bulletin of the London Mathematical Society, Volume 57, Issue 1, Page 265-284, January 2025.Abstract We are concerned with the Cauchy problem for the semilinear parabolic equation driven by the mixed local–nonlocal operator L=−Δ+(−Δ)s$\mathcal {L}= -\Delta +(-\Delta)^s$, with a power‐like source term. We show that the so‐called Fujita phenomenon holds, and the critical value is exactly the same as for the fractional Laplacian.
Stefano Biagi +2 more
wiley +1 more source
On quasilinear elliptic equations in ℝN
Abstract and Applied Analysis, 1996 In this note we give a result for the operator p-Laplacian complementing a theorem by Brézis and Kamin concerning a necessary and sufficient condition for the equation −Δu=h(x)uq in ℝN, where ...
C. O. Alves, J. V. Concalves, L. A. Maia
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Solutions of anisotropic elliptic equations in unbounded domains
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013 In the paper the Dirichlet problem for an anisotropic quasilinear elliptic equations of the second order is considered. The upper estimates for the generalized solution of this Dirichlet problem are received, the closeness is proved for the isotropic ...
Larisa Mikhailovna Kozhevnikova +1 more
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Fine topology and quasilinear elliptic equations [PDF]
Annales de l’institut Fourier, 1989 On demontre que la topologie fine de type (1,p) definie a l'aide d'un critere de Wiener est la moins fine topologie rendant continue toutes les sursolutions de l'equation p-harmonique div (|⊇u| P−2 ⊇u)=0.
Juha Heinonen +2 more
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Existence of Solutions to Noncoercive Elliptic Equations Involving Some Lower‐Order Terms
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this paper, we investigate a quasilinear elliptic boundary value problem as −div∇up−2∇u/1+uθp−1+ur−1u=huf,x∈Ω,ux≥0,x∈Ω,ux=0,x∈∂Ω, where Ω is an open bounded subset of RNN>2, p > 1, θ ≥ 0, and f ≥ 0 belongs to a suitable Lebesgue space. The function h is continuous, nonnegative, may blow up at zero, and it is bounded at infinity.
Jimao Xiawu +2 more
wiley +1 more source