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  1. Nonlinear Differential Equations and Applications NoDEA
  2. Nonlinear Differential Equations and Applications NoDEA : Volume 22
  3. Nonlinear Differential Equations and Applications NoDEA : Volume 22, Issue 6, December 2015
  4. On a class of critical (p, q)-Laplacian problems
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Nonlinear Differential Equations and Applications NoDEA : Volume 23
Nonlinear Differential Equations and Applications NoDEA : Volume 22
Nonlinear Differential Equations and Applications NoDEA : Volume 22, Issue 6, December 2015
Stability tests for second order linear and nonlinear delayed models
Singular limits in higher order Liouville-type equations
Sunflower model: time-dependent coefficients and topology of the periodic solutions set
On the lower semicontinuity and approximation of $${L^{\infty}}$$ L ∞ -functionals
Systems of integro-PDEs with interconnected obstacles and multi-modes switching problem driven by Lévy process
Strong solutions to stochastic hydrodynamical systems with multiplicative noise of jump type
Geometric inequalities for fractional Laplace operators and applications
Propagation of Gabor singularities for semilinear Schrödinger equations
Dispersive and diffusive limits for Ostrovsky–Hunter type equations
Zubov’s method for controlled diffusions with state constraints
Multiple normalized solutions of Chern–Simons–Schrödinger system
Liouville-type theorems for a quasilinear elliptic equation of the Hénon-type
A multiplicity result for Chern–Simons–Schrödinger equation with a general nonlinearity
Uniqueness of viscosity solutions for a class of integro-differential equations
A reduced model for the polarization in a ferroelectric thin wire
Existence for stationary mean-field games with congestion and quadratic Hamiltonians
Renormalized solutions of semilinear equations involving measure data and operator corresponding to Dirichlet form
A singular elliptic equation with natural growth in the gradient and a variable exponent
On Orlicz capacities and a nonexistence result for certain elliptic PDEs
On a class of critical (p, q)-Laplacian problems
Nonlinear Differential Equations and Applications NoDEA : Volume 22, Issue 5, October 2015
Nonlinear Differential Equations and Applications NoDEA : Volume 22, Issue 4, August 2015
Nonlinear Differential Equations and Applications NoDEA : Volume 22, Issue 3, June 2015
Nonlinear Differential Equations and Applications NoDEA : Volume 22, Issue 2, April 2015
Nonlinear Differential Equations and Applications NoDEA : Volume 22, Issue 1, February 2015
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 a class of critical (p, q)-Laplacian problems

Content Provider SpringerLink
Author Perera, Kanishka Candito, Pasquale Mara, Salvatore A.
Copyright Year 2015
Abstract We obtain nontrivial solutions of a critical (p, q)-Laplacian problem in a bounded domain. In addition to the usual difficulty of the loss of compactness associated with problems involving critical Sobolev exponents, this problem lacks a direct sum decomposition suitable for applying the classical linking theorem. We show that every Palais–Smale sequence at a level below a certain energy threshold admits a subsequence that converges weakly to a nontrivial critical point of the variational functional. Then we prove an abstract critical point theorem based on a cohomological index and use it to construct a minimax level below this threshold.
Ending Page 1972
Page Count 14
Starting Page 1959
File Format PDF
ISSN 10219722
e-ISSN 14209004
Journal Nonlinear Differential Equations and Applications NoDEA
Issue Number 6
Volume Number 22
Language English
Publisher Springer Basel
Publisher Date 2015-10-01
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword (p, q)-Laplacian problems Critical point theory Critical Sobolev exponent Analysis Cohomological index Critical exponents Nontrivial solutions 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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