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  1. Nonlinear Differential Equations and Applications NoDEA
  2. Nonlinear Differential Equations and Applications NoDEA : Volume 23
  3. Nonlinear Differential Equations and Applications NoDEA : Volume 23, Issue 2, April 2016
  4. Nonlinear nonhomogeneous periodic problems
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Nonlinear Differential Equations and Applications NoDEA : Volume 23
Nonlinear Differential Equations and Applications NoDEA : Volume 23, Issue 5, October 2016
Nonlinear Differential Equations and Applications NoDEA : Volume 23, Issue 4, August 2016
Nonlinear Differential Equations and Applications NoDEA : Volume 23, Issue 3, June 2016
Nonlinear Differential Equations and Applications NoDEA : Volume 23, Issue 2, April 2016
A conditional regularity result for p-harmonic flows
A blow-up result in a nonlinear abstract evolution system with delay
The rate of decay of stable periodic solutions for Duffing equation with L p -conditions
Stabilization of the nonlinear damped wave equation via linear weak observability
Existence and uniqueness for p-Laplace equations involving singular nonlinearities
New patterns of travelling waves in the generalized Fisher–Kolmogorov equation
Existence of nonnegative viscosity solutions for a class of problems involving the $${\infty}$$ ∞ -Laplacian
A multiplicity result via Ljusternick-Schnirelmann category and Morse theory for a fractional Schrödinger equation in $${\mathbb R^{N}}$$ R N
The dual approach to stationary and evolution quasilinear PDEs
Local boundedness of variational solutions to evolutionary problems with non-standard growth
Nonlinear nonhomogeneous periodic problems
$${\sigma_2}$$ σ 2 -Energy as a polyconvex functional on a space of self-maps of annuli in the multi-dimensional calculus of variations
Intersection properties of radial solutions and global bifurcation diagrams for supercritical quasilinear elliptic equations
Optimal control of continuity equations
Null controllability in large time of a parabolic equation involving the Grushin operator with an inverse-square potential
Picone’s identity for biharmonic operators on Heisenberg group and its applications
A stochastic nonlinear Schrödinger problem in variational formulation
Limit problems for a Fractional p-Laplacian as $${p\to\infty}$$ p → ∞
Mean-field SDEs with jumps and nonlocal integral-PDEs
Nonlinear Differential Equations and Applications NoDEA : Volume 23, Issue 1, February 2016
Nonlinear Differential Equations and Applications NoDEA : Volume 22
Nonlinear Differential Equations and Applications NoDEA : Volume 21
Nonlinear Differential Equations and Applications NoDEA : Volume 20
Nonlinear Differential Equations and Applications NoDEA : Volume 19
Nonlinear Differential Equations and Applications NoDEA : Volume 18
Nonlinear Differential Equations and Applications NoDEA : Volume 17
Nonlinear Differential Equations and Applications NoDEA : Volume 16
Nonlinear Differential Equations and Applications NoDEA : Volume 15
Nonlinear Differential Equations and Applications NoDEA : Volume 14
Nonlinear Differential Equations and Applications NoDEA : Volume 13
Nonlinear Differential Equations and Applications NoDEA : Volume 12
Nonlinear Differential Equations and Applications NoDEA : Volume 11
Nonlinear Differential Equations and Applications NoDEA : Volume 10
Nonlinear Differential Equations and Applications NoDEA : Volume 9
Nonlinear Differential Equations and Applications NoDEA : Volume 8
Nonlinear Differential Equations and Applications NoDEA : Volume 7
Nonlinear Differential Equations and Applications NoDEA : Volume 6
Nonlinear Differential Equations and Applications NoDEA : Volume 5
Nonlinear Differential Equations and Applications NoDEA : Volume 4

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Nonlinear nonhomogeneous periodic problems

Content Provider SpringerLink
Author D’Aguì, Giuseppina Barletta, Giuseppina Papageorgiou, Nikolaos S.
Copyright Year 2016
Abstract We consider a nonlinear periodic problem driven by a nonhomogeneous differential operator and a Carathéodory reaction. We show that it has at least three solutions, two of constant sign and the third nodal. In the particular case of the scalar $${p-}$$ Laplacian and with a parametric reaction of equidiffusive type, we show that three solutions with precise sign exist if the parameter $${\lambda > \widehat{\lambda}_1(p)=}$$ the first nonzero eigenvalue of the periodic scalar Laplacian. Finally, in the semilinear case $${(p=2),}$$ we show that there is a second nodal solution, for a total of four nontrivial solutions all with sign information.
Ending Page 23
Page Count 23
Starting Page 1
File Format PDF
ISSN 10219722
e-ISSN 14209004
Journal Nonlinear Differential Equations and Applications NoDEA
Issue Number 2
Volume Number 23
Language English
Publisher Springer International Publishing
Publisher Date 2016-03-28
Publisher Place Cham
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Nodal solutions Extremal solutions Positive solutions of nonlinear boundary value problems Nonlinear maximum principle Periodic solutions Critical groups Analysis Constant sign solutions Nonlinear boundary value problems Abstract critical point theory (Morse theory, Ljusternik-Schnirelman (Lyusternik-Shnirel'man) theory, etc.)
Content Type Text
Resource Type Article
Subject Applied Mathematics Analysis
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