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[PDF] Top 20 Existence of weak solutions for a class of \((p,q)\)-Laplacian systems

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Existence of weak solutions for a class of \((p,q)\)-Laplacian systems

Existence of weak solutions for a class of \((p,q)\)-Laplacian systems

... the existence of a weak solution for the semilinear elliptic equation under the nonquadraticity conditions and the asymptotic noncrossing conditions by using the saddle point theorem by Rabinowitz (see ... See full document

16

Existence and Nonexistence Results for a Class of Quasilinear Elliptic Systems

Existence and Nonexistence Results for a Class of Quasilinear Elliptic Systems

... Using variational methods, we prove the existence and nonexistence of positive solutions for a class of ( p , q )-Laplacian systems with a parameter.. Copyright © 2007 S.[r] ... See full document

5

Existence of weak solutions for a class of quasilinear elliptic systems

Existence of weak solutions for a class of quasilinear elliptic systems

... the existence of weak solutions for problem () at resonance with the higher eigenvalues of problem ...When p = , Silva in [] introduced the new Landesman-Lazer-type con- ditions and proved ... See full document

9

Positive solution for a class of coupled (p,q)-Laplacian nonlinear systems

Positive solution for a class of coupled (p,q)-Laplacian nonlinear systems

... the existence of a positive solution for a class of coupled systems is ...The existence of a solution is guaranteed via the method of sub- and supersolution if, among other assumptions, the ... See full document

13

Three solutions for a class of quasilinear elliptic systems involving the p(x)-Laplace operator

Three solutions for a class of quasilinear elliptic systems involving the p(x)-Laplace operator

... the existence of at least three weak solutions to the problems with Dirichlet or Neumann boundary value ...the existence of at least three weak solutions to problem (1) when ... See full document

10

Existence and nonexistence of entire positive solutions for (p,q)-Laplacian elliptic system with a gradient term

Existence and nonexistence of entire positive solutions for (p,q)-Laplacian elliptic system with a gradient term

... have been studied by many authors; see [–] and the references therein. For example, Ghergu and Radulescu [], Lair and Wood [], Kawano and Kusano [] discussed the entire solutions under proper conditions. For ... See full document

10

Existence of a nontrivial solution for a (p,q)-Laplacian equation with p-critical exponent in RN

Existence of a nontrivial solution for a (p,q)-Laplacian equation with p-critical exponent in RN

... When the domain is the whole R N , Sobolev’s immersion is not compact. In order to overcome this issue, the concentration-compactness principle or constrained minimiza- tion methods (see [, , ] and [], respectively) ... See full document

15

Existence result of solutions for a class of generalized p laplacian systems

Existence result of solutions for a class of generalized p laplacian systems

... of solutions to a class of nonlinear ...the existence results of a class of p- Laplacian equation and extend it to a (p,q)-Laplacian ... See full document

7

Existence and Nonexistence of Entire Positive Solutions for a Class of Singular p Laplacian Elliptic System

Existence and Nonexistence of Entire Positive Solutions for a Class of Singular p Laplacian Elliptic System

... [2] F. Cìrstea and V. Rădulescu, “Entire Solutions Blowing up at Infinity for Semilinear Elliptic Systems,” Journal de Mathématiques Pures et Appliquées, Vol. 81, No. 9, 2002, pp. 827-846. ... See full document

8

Existence of homoclinic solutions for a class of difference systems involving p Laplacian

Existence of homoclinic solutions for a class of difference systems involving p Laplacian

... the existence of homoclinic orbits for Hamiltonian systems is a classical problem and its importance in the study of the behavior of dynamical systems has been firstly recognized by Poincaré ... See full document

17

Fast homoclinic solutions for a class of ordinary p-Laplacian systems

Fast homoclinic solutions for a class of ordinary p-Laplacian systems

... ordinary p-Laplacian system and obtained the existence of fast homoclinic solutions to the above ...the existence of fast homoclinic solutions for a class of second order ... See full document

14

Nonconstant periodic solutions for a class of ordinary p-Laplacian systems

Nonconstant periodic solutions for a class of ordinary p-Laplacian systems

... the existence of periodic and subharmonic solutions for system (); see [–] and references ...vector p-Laplacian ordi- nary ...the existence of periodic solutions for problem ... See full document

12

Existence and multiplicity of weak solutions for a nonlinear impulsive \((q,p)\) Laplacian dynamical system

Existence and multiplicity of weak solutions for a nonlinear impulsive \((q,p)\) Laplacian dynamical system

... one weak solution if the potential function has sub-(q, p) growth or (q,p) growth; (ii) Employing a critical point theorem due to Ding (Nonlinear ...many weak solutions ... See full document

12

Some existence results of positive solutions for p-Laplacian systems

Some existence results of positive solutions for p-Laplacian systems

... elliptic systems have been used in a great variety of applications, and exis- tence results and a priori estimates of positive solutions for quasilinear elliptic systems have been broadly ...a ... See full document

24

Existence of solutions and nonnegative solutions for a class of p(t)-Laplacian differential systems with multipoint and integral boundary value conditions

Existence of solutions and nonnegative solutions for a class of p(t)-Laplacian differential systems with multipoint and integral boundary value conditions

... L p(·) ...QH: Existence of solutions for p(x)-Laplacian Dirichlet ...for p(t)-Laplacian ...of p(x)-Laplacian Dirichlet ...L p(x) spaces and its ... See full document

22

Existence of homoclinic orbits for a class of p-Laplacian systems in a weighted Sobolev space

Existence of homoclinic orbits for a class of p-Laplacian systems in a weighted Sobolev space

... the existence and multiplicity of homoclinic solutions and periodic solutions for Hamiltonian systems have been extensively studied by critical point ...following existence results for ... See full document

18

Existence of three solutions for a Navier boundary value problem involving the (p(x),q(x))-biharmonic

Existence of three solutions for a Navier boundary value problem involving the (p(x),q(x))-biharmonic

... the existence of multiple solutions for a quasilinear system in- volving a pair of (p(x), q(x))-Laplacian ...multiple solutions for a class of differential inclusion ... See full document

11

Local Solutions to a Class of Parabolic System Related to the P Laplacian

Local Solutions to a Class of Parabolic System Related to the P Laplacian

... the solutions (see [4] [5]) and blow-up properties of the solutions (see [6]) with various boundary conditions to the systems of evolutionary Laplacian ...the solutions to a single ... See full document

11

Existence of homoclinic solutions for a class of second order p-Laplacian systems with impulsive effects

Existence of homoclinic solutions for a class of second order p-Laplacian systems with impulsive effects

... the existence and multiplicity of solutions for impulsive differential equations via variational methods have been investigated by some ...clinic solutions of impulsive differential equations by ... See full document

15

Existence of nonconstant periodic solutions for a class of second-order systems with \(p(t)\)-Laplacian

Existence of nonconstant periodic solutions for a class of second-order systems with \(p(t)\)-Laplacian

... an existence result for nonconstant periodic solutions of a class of second-order systems with ...For p(x) is a constant p, it is easy to see that the conditions and conclusion ... See full document

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