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[PDF] Top 20 Existence and multiplicity of solutions for a class of superlinear-Laplacian equations

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Existence and multiplicity of solutions for a class of superlinear-Laplacian equations

Existence and multiplicity of solutions for a class of superlinear-Laplacian equations

... Ω with positive measure, so we extend the range of the nonlinearity largely. On the other hand, from Remark 1.5 we can see that our Assumption 1.2 is weaker than Assumption 1.1 and we believe that Assumption 1.2 can take ... See full document

12

Existence and multiplicity of positive solutions for a class of p ( x )-Kirchhoff type equations

Existence and multiplicity of positive solutions for a class of p ( x )-Kirchhoff type equations

... In this article we will use the following sub-supersolution principle, the proof of which is based on the well known fixed point theorem for the increasing operator on the order interval (see e.g., [45]) and is similar ... See full document

16

Existence and multiplicity of weak solutions for a class of degenerate nonlinear elliptic equations

Existence and multiplicity of weak solutions for a class of degenerate nonlinear elliptic equations

... volving the p-Laplacian operator have been intensively studied in the last decades. We just remember the work on that topic of Jo˜ao Marcos B. do ´ O [7], Pfl¨uger [12], R˘adulescu and Smets [14] and the ... See full document

17

Existence and multiplicity of positive solutions for a class of fractional differential equations with three point boundary value conditions

Existence and multiplicity of positive solutions for a class of fractional differential equations with three point boundary value conditions

... the existence and uniqueness of positive solutions and the existence of multiple positive ...differential equations without many preconditions by the fixed point index theory and obtain the ... See full document

19

Existence and multiplicity of solutions for a class of sublinear Schrödinger-Maxwell equations

Existence and multiplicity of solutions for a class of sublinear Schrödinger-Maxwell equations

... the existence of solutions for problem () under the assumption that f (x, u) is indefinite and without any coercive assumptions respect to V such as (V  ... See full document

22

The existence and multiplicity of positive solutions for a class of nonlocal elliptic problems

The existence and multiplicity of positive solutions for a class of nonlocal elliptic problems

... the density of a population subject to spreading. If γ = , then we get the well-known Carrier equation. The fact that (.) appears in some applied mathematics attracts a lot of attention. With the aid of the ... See full document

35

Existence and Multiplicity of Positive Solutions to a Class of Quasilinear Elliptic Equations in

Existence and Multiplicity of Positive Solutions to a Class of Quasilinear Elliptic Equations in

... Existence and concentration of positive solutions for P ∗ have been extensively studied in the recent years; see, for example, Ambrosetti et al. 2, 3, Cingolani and Lazzo 4, 5, Floer and Weinstein 6, Oh ... See full document

13

Existence and multiplicity of homoclinic solutions for difference systems involving classical \((\phi {1},\phi {2})\) Laplacian and a parameter

Existence and multiplicity of homoclinic solutions for difference systems involving classical \((\phi {1},\phi {2})\) Laplacian and a parameter

... the existence and multiplicity of homoclinic orbits for difference systems have been extensively studied in many recent papers via critical point theory (for example, see ...homoclinic solutions, when ... See full document

26

Existence of solutions for a class of operator equations

Existence of solutions for a class of operator equations

... the existence of nontrivial solutions on higher order boundary value problems, see ...new existence theorems on unique, at least one nontrivial and infinitely many solutions were ...the ... See full document

11

Positive solutions of m-point multi-term fractional integral BVP involving time-delay for fractional differential equations

Positive solutions of m-point multi-term fractional integral BVP involving time-delay for fractional differential equations

... the existence and multiplicity of positive solutions to a class of higher-order delayed nonlinear fractional differential equations with m-point multi-term fractional integral boundary ... See full document

19

Existence of Solutions for a Class of Elliptic Systems in  Involving the  Laplacian

Existence of Solutions for a Class of Elliptic Systems in Involving the Laplacian

... right-hand side of the system which will ensure the mountain pass geometry and Palais- Smale condition for the corresponding Euler-Lagrange functional of the system, the author limits himself to the subcritical case for ... See full document

16

Existence of periodic solutions for a class of p-Laplacian equations

Existence of periodic solutions for a class of p-Laplacian equations

... and multiplicity of solutions of the periodic problems driven by the p- Laplacian have been obtained in the literature by many people (see ... See full document

11

Existence and Multiplicity of Solutions for p-Laplacian Equations without the AR Condition

Existence and Multiplicity of Solutions for p-Laplacian Equations without the AR Condition

... Abstract—The Ambrosetti-Rabinowitz (AR) condition is cru- cial in variational methods. In this paper we consider a class of p-Laplacian equations without the AR condition. Using Mountain pass lemma ... See full document

5

Existence and multiplicity of solutions for nonlocal p(x)-Laplacian problems in RN

Existence and multiplicity of solutions for nonlocal p(x)-Laplacian problems in RN

... Various equations of Kirchhoff type have been studied by many authors, especially after the work of Lions [], where a functional analysis framework for the problem was proposed; see, ...the existence of ... See full document

15

Existence of Positive Solutions for a Coupled System of (p, q)-Laplacian Fractional Higher Order Boundary Value Problems

Existence of Positive Solutions for a Coupled System of (p, q)-Laplacian Fractional Higher Order Boundary Value Problems

... the existence of positive solutions for third order Sturm–Liouville boundary value problems with p-Laplacian operator by applying the fixed point index ...the existence and multiplicity ... See full document

14

Multiplicity and asymptotic behavior of solutions to a class of Kirchhoff type equations involving the fractional p Laplacian

Multiplicity and asymptotic behavior of solutions to a class of Kirchhoff type equations involving the fractional p Laplacian

... of solutions of a nonlocal problem driven by the fractional p-Laplace ...the existence of solutions and in the multiplicity properties of the ...of solutions as the positive parameters ... See full document

19

On the Solvability of Superlinear and Nonhomogeneous Quasilinear Equations

On the Solvability of Superlinear and Nonhomogeneous Quasilinear Equations

... the existence of nontrivial weak solutions for a class of superlinear and nonhomogeneous quasilinear ...new multiplicity result for a vast set of nonlinear equations, such as the ... See full document

10

Existence and multiplicity of symmetric positive solutions for nonlinear boundary-value problems with p-Laplacian operator

Existence and multiplicity of symmetric positive solutions for nonlinear boundary-value problems with p-Laplacian operator

... Boundary-value problems with integral boundary conditions for ordinary differential equations represent a very interesting and important class of problems. They include two-, three-, multi-point and nonlocal ... See full document

12

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 ...type equations with Dirichlet boundary value problems have been studied by Dai and ... See full document

11

Existence and multiplicity of positive solutions for p-Laplacian elliptic equations

Existence and multiplicity of positive solutions for p-Laplacian elliptic equations

... argument directly. The corresponding energy functional fails to satisfy the classical Palais- Smale ((PS)) condition in W  ,p (). But we can establish a local (PS) condition in a suitable range, so the existence ... See full document

15

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