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  1. Annali di Matematica Pura ed Applicata
  2. Annali di Matematica Pura ed Applicata : Volume 193
  3. Annali di Matematica Pura ed Applicata : Volume 193, Issue 1, February 2014
  4. Perturbed asymptotically linear problems
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Annali di Matematica Pura ed Applicata : Volume 196
Annali di Matematica Pura ed Applicata : Volume 195
Annali di Matematica Pura ed Applicata : Volume 194
Annali di Matematica Pura ed Applicata : Volume 193
Annali di Matematica Pura ed Applicata : Volume 193, Issue 6, December 2014
Annali di Matematica Pura ed Applicata : Volume 193, Issue 5, October 2014
Annali di Matematica Pura ed Applicata : Volume 193, Issue 4, August 2014
Annali di Matematica Pura ed Applicata : Volume 193, Issue 3, June 2014
Annali di Matematica Pura ed Applicata : Volume 193, Issue 2, April 2014
Annali di Matematica Pura ed Applicata : Volume 193, Issue 1, February 2014
Bifurcation phenomena for nonlinear superdiffusive Neumann equations of logistic type
Bifurcation analysis of an autonomous epidemic predator–prey model with delay
Profile of the least energy solution of a singular perturbed Neumann problem with mixed powers
Slopes of Kantorovich potentials and existence of optimal transport maps in metric measure spaces
Perturbed asymptotically linear problems
All solutions of the CMC-equation in $${\mathbb{H}^n\times\mathbb{R}}$$ invariant by parabolic screw motion
Higher differentiability for the solutions of nonlinear elliptic systems with lower-order terms and L 1,θ -data
Solutions for nonlinear elliptic equations with variable growth and degenerate coercivity
An example of chaotic dynamics in 3D systems via stretching along paths
Further study of entire radial solutions of a biharmonic equation with exponential nonlinearity
The p-Laplace operator with the nonlocal Robin boundary conditions on arbitrary open sets
Calculation of degree and global bifurcation for variational inequalities with nonsymmetric operators in Banach spaces
Quaternionic Kähler and Spin(7) metrics arising from quaternionic contact Einstein structures
Extensions of Picard 2-stacks and the cohomology groups $$\mathrm{Ext }^i$$ of length 3 complexes
Annali di Matematica Pura ed Applicata : Volume 192
Annali di Matematica Pura ed Applicata : Volume 191
Annali di Matematica Pura ed Applicata : Volume 190
Annali di Matematica Pura ed Applicata : Volume 189
Annali di Matematica Pura ed Applicata : Volume 188
Annali di Matematica Pura ed Applicata : Volume 187
Annali di Matematica Pura ed Applicata : Volume 186
Annali di Matematica Pura ed Applicata : Volume 185
Annali di Matematica Pura ed Applicata : Volume 184
Annali di Matematica Pura ed Applicata : Volume 183
Annali di Matematica Pura ed Applicata : Volume 182
Annali di Matematica Pura ed Applicata : Volume 181
Annali di Matematica Pura ed Applicata : Volume 180
Annali di Matematica Pura ed Applicata : Volume 179
Annali di Matematica Pura ed Applicata : Volume 178
Annali di Matematica Pura ed Applicata : Volume 177
Annali di Matematica Pura ed Applicata : Volume 176
Annali di Matematica Pura ed Applicata : Volume 175
Annali di Matematica Pura ed Applicata : Volume 174
Annali di Matematica Pura ed Applicata : Volume 173
Annali di Matematica Pura ed Applicata : Volume 172

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Perturbed asymptotically linear problems

Content Provider SpringerLink
Author Salvatore, Addolorata Bartolo, Rossella Candela, Anna Maria
Copyright Year 2012
Abstract The aim of this paper is to investigate the existence of solutions of the semilinear elliptic problem $$\left\{\begin{array}{ll} -\Delta u\ =\ p(x, u) + \varepsilon g(x, u)\quad {\rm in}\,\, \Omega, \\ u=0 \quad\quad\quad\quad\quad\quad\quad\quad\quad\,\,\,\,\,\,{\rm on}\,\, \partial\Omega, \end{array} \right. \quad\quad\quad(0.1) $$ where Ω is an open bounded domain of $${\mathbb{R}^N}$$ , $${\varepsilon\in\mathbb{R}, p}$$ is subcritical and asymptotically linear at infinity, and g is just a continuous function. Even when this problem has not a variational structure on $${H^1_0(\Omega)}$$ , suitable procedures and estimates allow us to prove that the number of distinct critical levels of the functional associated to the unperturbed problem is “stable” under small perturbations, in particular obtaining multiplicity results if p is odd, both in the non-resonant and in the resonant case.
Ending Page 101
Page Count 13
Starting Page 89
File Format PDF
ISSN 03733114
e-ISSN 16181891
Journal Annali di Matematica Pura ed Applicata
Issue Number 1
Volume Number 193
Language English
Publisher Springer Berlin Heidelberg
Publisher Date 2012-03-28
Publisher Place Berlin, Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Essential value Pseudo-genus Variational methods Variational methods for second-order elliptic equations Mathematics Perturbed problem Resonant problem Asymptotically linear elliptic problem Abstract critical point theory (Morse theory, Ljusternik-Schnirelman (Lyusternik-Shnirel'man) theory, etc.)
Content Type Text
Resource Type Article
Subject Applied Mathematics
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