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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 4, August 2016
  4. On noncoercive elliptic 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
The bang–bang theorem via Baire category: a dual approach
Pucci eigenvalues on geodesic balls
Three solutions for a class of higher dimensional singular problems
On noncoercive elliptic problems
Fully nonlinear operators with Hamiltonian: Hölder regularity of the gradient
Calderón–Zygmund estimates for a class of obstacle problems with nonstandard growth
Existence of infinitely many solutions for the (p, q)-Laplace equation
Asymptotic decay under nonlinear and noncoercive dissipative effects for electrical conduction in biological tissues
The ergodic problem for some subelliptic operators with unbounded coefficients
Local well-posedness for the (n + 1)-dimensional Yang–Mills and Yang–Mills–Higgs system in temporal gauge
Nonlinear elliptic systems and mean-field games
Geodesically convex energies and confinement of solutions for a multi-component system of nonlocal interaction equations
Nonlinear Differential Equations and Applications NoDEA : Volume 23, Issue 3, June 2016
Nonlinear Differential Equations and Applications NoDEA : Volume 23, Issue 2, April 2016
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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On noncoercive elliptic problems

Content Provider SpringerLink
Author Papageorgiou, Nikolaos S. Rădulescu, Vicenţiu D.
Copyright Year 2016
Abstract We consider a nonlinear noncoercive elliptic equation driven by the p-Laplacian. We show that if the $${L^{\infty}}$$ -perturbation has small norm, then the problem admits a positive solution. Moreover, if the $${L^{\infty}}$$ -perturbation is nonzero and nonnegative, then we find two positive solutions. Also, we consider a class of semilinear equations with an indefinite and unbounded potential. Using critical groups, we show that there is a nontrivial solution and under a global sign condition, we show that this solutions is nodal. Our results extend and improve a recent work of Rădulescu (Discr. Cont. Dyn. Syst. Ser. S , 5:845–856, [14]).
Ending Page 17
Page Count 17
Starting Page 1
File Format PDF
ISSN 10219722
e-ISSN 14209004
Journal Nonlinear Differential Equations and Applications NoDEA
Issue Number 4
Volume Number 23
Language English
Publisher Springer International Publishing
Publisher Date 2016-06-23
Publisher Place Cham
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Nonlinear maximum principle Critical groups Analysis Positive solution Local linking Variational methods for second-order elliptic equations Nonlinear regularity Nonlinear elliptic equations Nodal solution Quasilinear elliptic equations with $p$-Laplacian 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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