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[PDF] Top 20 Existence and multiplicity of nontrivial solutions for a nonlocal problem

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Existence and multiplicity of nontrivial solutions for a nonlocal problem

Existence and multiplicity of nontrivial solutions for a nonlocal problem

... a nontrivial solution of problem ...the existence of a nontrivial non-negative solution for problem (), and the existence of a nontrivial non-positive solution for ... See full document

7

Existence and multiplicity of nontrivial solutions for Schrödinger-Poisson systems on bounded domains

Existence and multiplicity of nontrivial solutions for Schrödinger-Poisson systems on bounded domains

... the existence of nontrivial solutions and infinitely many solutions by using the mountain pass theorem and the symmetric mountain pass theorem, ... See full document

12

4. Non-homogeneous Kirchhoff equation on $\mathbb{R}^3$

4. Non-homogeneous Kirchhoff equation on $\mathbb{R}^3$

... considering problem (1.1). Four existence results for nontrivial solutions and a sequence of high energy solutions for problem ...the existence of infinitely many high ... See full document

7

Gradient systems with sublinear term near the origin and asymptotically linear term near infinity

Gradient systems with sublinear term near the origin and asymptotically linear term near infinity

... works, existence and multiplicity of nontrivial solutions for (GS) were obtained by combining var- ious arguments involving Morse theory, saddle point reduction method (see [–]) and three ... See full document

16

Multiplicity of nontrivial solutions for a class of nonlinear Kirchhoff-type equations

Multiplicity of nontrivial solutions for a class of nonlinear Kirchhoff-type equations

... energy solutions of problem ...the existence and the non-existence of nontrivial solution of problem ...the existence of infinitely many high energy solutions of ... See full document

12

Existence of nontrivial solutions for a class of nonlocal Kirchhoff type problems

Existence of nontrivial solutions for a class of nonlocal Kirchhoff type problems

... the existence and multiplicity of weak solutions for problem (1) by using variational methods, for example, the nonlinear- ity f is asymptotically 3-linear at infinity (see [4, 6, 9]), the ... See full document

7

Multiplicity of Nontrivial Solutions for Kirchhoff Type Problems

Multiplicity of Nontrivial Solutions for Kirchhoff Type Problems

... the existence of positive solutions and infinitely many positive solutions of the problems by variational methods, respectively; Perera and Zhang 12 obtained one nontrivial solutions of ... See full document

13

Existence of nontrivial solutions to perturbed p-Laplacian system in ℝ N involving critical nonlinearity

Existence of nontrivial solutions to perturbed p-Laplacian system in ℝ N involving critical nonlinearity

... lue of the p-Laplacian. In [12], Alves and Ding studied the same problem of [11] and obtained the multiplicity of positive solutions in bounded domain Ω ⊂ ℝ N . Moreover, Liu and Zheng [13] ... See full document

13

Infinitely many solutions for hemivariational inequalities involving the fractional Laplacian

Infinitely many solutions for hemivariational inequalities involving the fractional Laplacian

... eral nonlocal operators have attracted more interest since these operators appear in con- crete applications in many fields, such as anomalous diffusion [1], quantum mechanics [2], obstacle problems [3], phase ... See full document

23

Existence and multiplicity of positive solutions for a class of singular fractional nonlocal boundary value problems

Existence and multiplicity of positive solutions for a class of singular fractional nonlocal boundary value problems

... with nonlocal boundary value conditions. The existence and multiplicity of positive solutions are derived by the fixed point index theory, and the nonlinearity f(t, x) may be singular at t = 0, ... See full document

18

Existence and multiplicity of solutions for a supercritical elliptic problem in unbounded cylinders

Existence and multiplicity of solutions for a supercritical elliptic problem in unbounded cylinders

... Generally speaking, some geometrical and topological properties of the domain can help us to show existence results for elliptic problems; for example, the symmetry of the domain can be used to improve the Sobolev ... See full document

11

Global existence of solutions for a fractional Caputo nonlocal thermistor problem

Global existence of solutions for a fractional Caputo nonlocal thermistor problem

... the existence and uniqueness of solution for frac- tional differential equations (FDEs) have been intensely studied by many mathematicians [, , , ...with existence- uniqueness of solutions for ... See full document

14

Existence of Solutions to a Nonlocal Boundary Value Problem with Nonlinear Growth

Existence of Solutions to a Nonlocal Boundary Value Problem with Nonlinear Growth

... The purpose of this paper is to study the existence of solutions for nonlocal BVP 1.1, 1.2 at resonance case i.e., g1 1 and establish some existence results under nonlinear growth restriction ... See full document

15

Periodic solutions for nonlocal \(p(t)\)-Laplacian systems

Periodic solutions for nonlocal \(p(t)\)-Laplacian systems

... the existence of pe- riodic solutions for problem ...the existence and multiplicity of periodic solutions for systems ... See full document

20

Existence of solutions for nonlinear
Caputo-Hadamard fractional differential equations
with nonlocal Condition

Existence of solutions for nonlinear Caputo-Hadamard fractional differential equations with nonlocal Condition

... the existence of solutions for initial value problem for a class of nonlinear Caputo-Hadamard fractional differential equations with nonlocal ... See full document

11

Existence and multiplicity of solutions for fractional Hamiltonian systems

Existence and multiplicity of solutions for fractional Hamiltonian systems

... and split it into three parts N λ,μ – , N λ,μ + , and N λ,μ 0 . By looking for minimizer of the energy functional on N λ,μ – and N λ,μ + respectively and with the help of more analysis techniques, the authors establish ... See full document

17

Existence and multiplicity of solutions for nonlocal p(x)-Laplacian equations with nonlinear Neumann boundary conditions

Existence and multiplicity of solutions for nonlocal p(x)-Laplacian equations with nonlinear Neumann boundary conditions

... the existence of positive solutions to a class of nonlocal boundary value problems of the p-Kirchhoff type ...of nonlocal p(x)-Laplacian problems with nonlinear Neumann boundary ... See full document

11

A nonlocal parabolic system with application to a thermoelastic problem

A nonlocal parabolic system with application to a thermoelastic problem

... a nonlocal parabolic system for two dependent variables to a general system for n such ...the problem of thermoelastic contact of n ...the existence, uniqueness and continuous dependence of the ... See full document

13

Existence and multiplicity of positive solutions for p-Kirchhoff type problem with singularity

Existence and multiplicity of positive solutions for p-Kirchhoff type problem with singularity

... the existence of solutions for problem ...that problem (.) has at least two positive solutions for μ >  small ...the multiplicity of positive solutions by the Nehari ... See full document

17

Existence of mild solutions for the impulsive semilinear nonlocal problem with random effects

Existence of mild solutions for the impulsive semilinear nonlocal problem with random effects

... studied existence results for impulsive semilinear nonlocal problems with random ...some existence results for impulsive semilinear nonlocal problems with random ... See full document

11

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