جستجوی مقالات مرتبط با کلیدواژه "p(x)-laplacian" در نشریات گروه "ریاضی"

This article is concerned with the study of the existence of a distributional solution for a strongly nonlinear (p(x),q(x))-elliptic systems. By means of the Berkovits degree theory, with suitable assumptions on the nonlinearities, we prove the existence of nontrivial solutions to our problem.

In this paper, we intend to investigate the solutions of the fractional differential inclusion system with successive derivatives with the Laplace operator and according to the derivative and integral boundary conditions. In this regard, we use the fixed point and end point theorems. Finally, we will show this device's effectiveness by providing some practical examples.

In this work, we establish the existence of at least two positive solutions for a coupled system of $p$-Laplacian fractional-order boundary value problems. Establishing the existence of positive solutions to the problem is challenging for a variety of reasons, the most important of which is a lack of compatibility with the kernel. To address these issues, we have included the necessary conditions for overcoming certain methodological hurdles on the kernel as well as adapting to the problem's nature of positivity. The method is based on the AH functional fixed point theorem.

This paper is concerned with the existence of at least one   positive solution for a boundary value problem (BVP), with  $p$-Laplacian, of the form    begin{equation*}        begin{split}            (Phi_p(x^{'}))^{'} + g(t)f(t,x)  &= 0, quad t     in (0,1),\            x(0)-ax^{'}(0) = alpha[x], & quad            x(1)+bx^{'}(1) = beta[x],        end{split}    end{equation*}where $Phi_{p}(x) = |x|^{p-2}x$ is a one dimensional $p$-Laplacian operator with $p>1, a,b$ are real constants and $alpha,beta$ are  the Riemann-Stieltjes integrals    begin{equation*}        begin{split}            alpha[x] = int limits_{0}^{1} x(t)dA(t), quad  beta[x] = int limits_{0}^{1} x(t)dB(t),        end{split}    end{equation*}with $A$ and $B$ are functions of bounded variation. A Homotopy version of  Krasnosel'skii fixed point theorem is used to prove our results.

In this paper, we prove the existence of at least one non-trivial solution for a discrete nonlinearboundary value problem with $phi_c$-Laplacian. The approach is based on variational methods.

In this paper, we introduce the Lebesgue -Sobolev spaces critical points theory then we consider the boundary value problem involving an ordinary differential equation with p(x)-Laplacian operator, and nonhomogeneous Neumann conditions. Existence results for ordinary differential equations with elliptic Neumann problems that depending on two real parameters are investigated. Precisely, by using the critical point theory, we show the existence of three weak solutions for p(x)-Laplacian problems. Using the critical point theorems we have proved, we give some conclusionsIn this paper, we introduce the Lebesgue -Sobolev spaces critical points theory then we consider the boundary value problem involving an ordinary differential equation with p(x)-Laplacian operator, and nonhomogeneous Neumann conditions. Existence results for ordinary differential equations with elliptic Neumann problems that depending on two real parameters are investigated. Precisely, by using the critical point theory, we show the existence of three weak solutions for p(x)-Laplacian problems. Using the critical point theorems we have proved, we give some conclusions

In this paper, we investigate the existence of positive solutions for a second-order multipoint p-Laplacian impulsive boundary value problem on time scales. Using a new fixed point theorem in a cone, sufficient conditions for the existence of at least three positive solutions are established. An illustrative example is also presented.