Advanced Nonlinear Studies
SCOPUS (2001-2025)SCIE-ISI
2169-0375
1536-1365
Đức
Cơ quản chủ quản: Walter de Gruyter GmbH & Co. KG , DE GRUYTER POLAND SP Z O O
Lĩnh vực:
Statistical and Nonlinear PhysicsMathematics (miscellaneous)
Phân tích ảnh hưởng
Các bài báo tiêu biểu
Maximal Regularity for Nonautonomous Evolution Equations
Tập 4 Số 4 - Trang 417-430 - 2004
Abstract We derive sufficient conditions, perturbation theorems in particular,
for nonautonomous evolution equations to possess the property of maximal Lp
regularity.
A Nonhomogeneous Fractional p-Kirchhoff Type Problem Involving Critical Exponent in ℝ N
Tập 17 Số 3 - Trang 611-640 - 2017
Abstract This paper concerns itself with the nonexistence and multiplicity of
solutions for the following fractional Kirchhoff-type problem involving the
critical Sobolev exponent: [ a + b ( ∬ ℝ 2 N | u ( x ) - u ( y ) | p | x
- y | N + p s 𝑑 x 𝑑 y ) θ - 1 ] ( - Δ ) p s u = | u | p s * - 2 u
+ λ f ( x ) in ℝ N ,
\Biggl{[}a+b\biggl{(}\iint_{\mathbb{R}^{2N}}\frac{\lver...
Periodic Solutions of Equations of Emarkov-Pinney Type
Tập 6 Số 1 - Trang 57-67 - 2006
Abstract 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.
Levinson’s Problem on Affine-Periodic Solutions
Tập 15 Số 1 - Trang 241-252 - 2015
Abstract In this paper, Levinson’s problem is introduced to affine-periodic
systems. It is proved that every affine-dissipative-repulsive system admits an
affine-periodic solution, which extends previous well-known results for
dissipative systems.
On a Parametric Nonlinear Dirichlet Problem with Subdiffusive and Equidiffusive Reaction
Tập 14 Số 3 - Trang 565-591 - 2014
Abstract 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 parameter) sufficiently large the problem has at
least thre...
Existence of Solutions for Some Classes of Singular Hamiltonian Systems
Tập 5 Số 2 - Trang 265-278 - 2005
Abstract This paper deals with existence of positive solution for the following
singular Hamiltonian system where Ω ⊂ ℝN , N ≥ 2, is a smooth bounded domain and
H, T, S, K are continuous functions. A key role is played by the Galerkin
method....
Infinitely Many Nodal Solutions for Nonlinear Nonhomogeneous Robin Problems
Tập 16 Số 2 - Trang 287-299 - 2016
Abstract 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 ) ${f(z,x)}$ is a Carathéodory function which need not
satisfy a global growth condition and is only assumed to be odd near zero. Using
variational tools, we show that the problem has a whole sequence of distinct
nodal (that is...
Asymptotic Symmetry for a Class of Quasi-Linear Parabolic Problems
Tập 10 Số 4 - Trang 789-818 - 2010
Abstract 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 nonnegative radially symmetric
solutions of the sta...
Quasilinear Elliptic Equations on Half- and Quarter-spaces
Tập 13 Số 1 - Trang 115-136 - 2013
Abstract We consider quasilinear elliptic problems of the form Δpu + 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 on ∂H, and in the
quarter-space case we assume that u ≥ 0 on {x1 = 0} and u = 0 on {xN = 0}. Let u
≢ 0 be a bounded nonnegative solution. For some general classes of
nonlinearities f ...
Multiplicity Result for Quasilinear Elliptic Problems with General Growth in the Gradient
Tập 8 Số 2 - Trang 289-301 - 2008
Abstract The main result of this work is to get the existence of infinitely many
radial positive solutions to the problem -Δpu = |▽u|q + λf(x) in Ω, u|aΩ = 0,
where Ω = B1(0) and f is a radial positive function. Since, in general when q ≠
p, a Hopf-Cole type change can not be used, we will consider just the existence
and multiplicity of positive radial solutions. The main idea is to get a
relation...