Advanced Nonlinear Studies
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Maximal Regularity for Nonautonomous Evolution EquationsAbstract
We derive sufficient conditions, perturbation theorems in particular, for nonautonomous evolution equations to possess the property of maximal Lp regularity.
Advanced Nonlinear Studies - Tập 4 Số 4 - Trang 417-430 - 2004
Asymptotic Nondegeneracy of Least Energy Solutions to an Elliptic Problem with Critical Sobolev ExponentAbstract
Consider the problem
-∆u = N(N - 2)up + εk(x)u in Ω, u > 0 in Ω, u|∂Ω = 0
where Ω is a smooth bounded domain in ℝN (N ≥ 6), p = (N +2)/(N - 2), ε > 0 and k ∈ C2 (Ω̅). Under certain assumptions, we prove the n...
Advanced Nonlinear Studies - Tập 8 Số 4 - Trang 783-797 - 2008
Existence of Solutions for Some Classes of Singular Hamiltonian SystemsAbstract
This paper deals with existence of positive solution for the following singular Hamiltonian system
hiện toàn bộ
Advanced Nonlinear Studies - Tập 5 Số 2 - Trang 265-278 - 2005
Quasilinear Elliptic Equations on Half- and Quarter-spacesAbstract
We consider quasilinear elliptic problems of the form Δp u + f(u) = 0 over the half-space H = {x ∈ ℝN : x1 > 0} and over the quarter-space Q = {x ∈ ℝN : x1 > 0, xN > 0}. In the half-space case we assume u ≥ 0... ...
Advanced Nonlinear Studies - Tập 13 Số 1 - Trang 115-136 - 2013
Asymptotic Symmetry for a Class of Quasi-Linear Parabolic ProblemsAbstract
We study the symmetry properties of the weak positive solutions to a class of quasi-linear elliptic problems having a variational structure. On this basis, the asymptotic behaviour of global solutions of the corresponding parabolic equations is also investigated. In particular, if the domain is a ball, the elements of the ω limit set are no... ...
Advanced Nonlinear Studies - Tập 10 Số 4 - Trang 789-818 - 2010
Infinitely Many Nodal Solutions for Nonlinear Nonhomogeneous Robin ProblemsAbstract
We consider a nonlinear Robin problem driven by a nonhomogeneous differential operator which incorporates the p -Laplacian as special case. The reaction
f
(
z
,
x
)
hiện toàn bộ
Advanced Nonlinear Studies - Tập 16 Số 2 - Trang 287-299 - 2016
On a Parametric Nonlinear Dirichlet Problem with Subdiffusive and Equidiffusive ReactionAbstract
We study a nonlinear parametric elliptic equation (nonlinear eigenvalue problem) driven by a nonhomogeneous differential operator. Our setting incorporates equations driven by the p-Laplacian, the (p, q)-Laplacian, and the generalized p-mean curvature differential operator. Applying variational methods we show that for λ > 0 (the paramet... ...
Advanced Nonlinear Studies - Tập 14 Số 3 - Trang 565-591 - 2014
A General Approximation Approach for the Simultaneous Treatment of Integral and Discrete OperatorsAbstract In this paper, we give a unitary approach for the simultaneous study of the convergence of discrete and integral operators described by means of a family of linear continuous functionals acting on functions defined on locally compact Hausdorff topological groups. The general family of operators introduced and studied includes very well-known operators in th... ...
Advanced Nonlinear Studies - Tập 18 Số 4 - Trang 705-724 - 2018
Periodic Solutions of Equations of Emarkov-Pinney TypeAbstract
After establishing a relation between the Hill’s equations and the Emarkov-Pinney equations, we are able to use degree theory to remove a technical assumption in [14], and give a complete set of non-resonance conditions for differential equations with repulsive singularities.
Advanced Nonlinear Studies - Tập 6 Số 1 - Trang 57-67 - 2006
A Nonhomogeneous Fractional p-Kirchhoff Type Problem Involving Critical Exponent in ℝ N Abstract
This paper concerns itself with the nonexistence and multiplicity of solutions for the following fractional Kirchhoff-type problem involving the critical Sobolev exponent:
...
Advanced Nonlinear Studies - Tập 17 Số 3 - Trang 611-640 - 2017
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