Quasilinear parabolic variational inequalities with multi-valued lower-order terms

2013 ◽  
Vol 65 (5) ◽  
pp. 845-864 ◽  
Author(s):  
Siegfried Carl ◽  
Vy K. Le
Keyword(s):  
Variational Inequalities ◽  
Lower Order ◽  
Lower Order Terms ◽  
Quasilinear Parabolic

Variational Inequalities with General Multivalued Lower Order Terms Given by Integrals

2011 ◽  
Vol 11 (1) ◽  
pp. 1-24 ◽  
Author(s):  
Vy Khoi
Keyword(s):  
Variational Inequalities ◽  
Lower Order ◽  
Order Term ◽  
Multivalued Function ◽  
Solution Set ◽  
Lower Order Term ◽  
Extremal Solutions ◽  
Lower Order Terms

AbstractThis paper is about the existence and some properties of solutions of variational inequalities associated with the 2nd order inclusiondiv[A(x, ∇u)] + L ∈ f (x, u) in Ω,where the lower order term f (x, u) is a general multivalued function. Both coercive and noncoercive cases are considered. In the noncoercive case, we use a sub-supersolution approach to study the existence, comparison, and other properties of the solution set such as its compactness, directedness, and the existence of extremal solutions.

Elliptic Variational Inequalities with Discontinuous Multi-Valued Lower Order Terms

2013 ◽  
Vol 13 (1) ◽  
Author(s):  
Siegfried Carl
Keyword(s):  
Variational Inequalities ◽  
Elliptic Operator ◽  
Lower Order ◽  
Second Order ◽  
Order Elliptic Operator ◽  
Elliptic Variational Inequalities ◽  
Inequalities For Operators ◽  
Lower Order Terms

AbstractWe consider multi-valued elliptic variational inequalities for operators of the formu ↦ Au + ∂where A is a second order elliptic operator of Leray-Lions type, and u ↦ ∂

scholarly journals Nonlinear evolution problems with singular coefficients in the lower order terms

2021 ◽  
Vol 28 (4) ◽  
Author(s):  
Fernando Farroni ◽  
Luigi Greco ◽  
Gioconda Moscariello ◽  
Gabriella Zecca
Keyword(s):  
Lower Order ◽  
Time Horizon ◽  
Existence Result ◽  
Nonlinear Evolution ◽  
Order Term ◽  
Time Behavior ◽  
Infinite Time ◽  
Singular Coefficient ◽  
Singular Coefficients ◽  
Lower Order Terms

AbstractWe consider a Cauchy–Dirichlet problem for a quasilinear second order parabolic equation with lower order term driven by a singular coefficient. We establish an existence result to such a problem and we describe the time behavior of the solution in the case of the infinite–time horizon.

scholarly journals Existence results for nonlinear degenerate elliptic equations with lower order terms

2020 ◽  
Vol 10 (1) ◽  
pp. 301-310
Author(s):  
Weilin Zou ◽  
Xinxin Li
Keyword(s):  
Lower Order ◽  
Elliptic Equations ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Regularity Of Solutions ◽  
Degenerate Elliptic Equations ◽  
Degenerate Elliptic ◽  
Initial Boundary Value ◽  
Lower Order Terms ◽  
Nonlinear Degenerate

Abstract In this paper, we prove the existence and regularity of solutions of the homogeneous Dirichlet initial-boundary value problem for a class of degenerate elliptic equations with lower order terms. The results we obtained here, extend some existing ones of [2, 9, 11] in some sense.

Zero correlation with lower-order terms for automorphic L-functions

2016 ◽  
Vol 12 (01) ◽  
pp. 27-55
Author(s):  
Timothy L. Gillespie ◽  
Yangbo Ye
Keyword(s):  
Lower Order ◽  
Product Formula ◽  
Cuspidal Representation ◽  
Zero Correlation ◽  
Lower Order Terms ◽  
Refined Version ◽  
Low Order

Let [Formula: see text] be a self-contragredient automorphic cuspidal representation of [Formula: see text] for [Formula: see text]. Using a refined version of the Selberg orthogonality, we recompute the [Formula: see text]-level correlation of high non-trivial zeros of the product [Formula: see text]. In the process, we are able to extract certain low-order terms which suggest the asymptotics of these statistics are not necessarily universal, but depend upon the conductors of the representations and hence the ramification properties of the local components coming from each [Formula: see text]. The computation of these lower-order terms is unconditional as long as all [Formula: see text].

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