Results 11 to 20 of about 58,118 (188)

Existence of beam-equation solutions with strong damping and p(x)-biharmonic operator [PDF]

Mathematica Moravica, 2022
In this paper, we consider a nonlinear beam equation with a strong damping and the p(x)-biharmonic operator. The exponent p(·) of nonlinearity is a given function satisfying some condition to be specified.
Ferreira Jorge, Panni Willian S., Pışkin Erhan, Shahrouzi Mohammad   +3 more
doaj   +2 more sources

Picone's Identity for $p$-biharmonic operator and Its Applications

Taiwanese Journal of Mathematics, 2015
In this article we prove the nonlinear analogue of Picone's identity for $p-$biharmonic operator. As an application of our result we show that the Morse index of the zero solution to a $p-$biharmonic boundary value problem is $0$. We also prove a Hardy type inequality and Sturmian comparison principle.
Makvand Chaharlang, Moloud, Razani, Abdolrahman   +1 more
core   +8 more sources

Multiple solutions for a Navier boundary value problem involving the $p$--biharmonic operator

Discrete and Continuous Dynamical Systems - S, 2012
The existence of multiple weak solutions for a class of elliptic Navier boundary problems involving the $p$--biharmonic operator is investigated. Our approach is chiefly based on critical point theory.
Candito, Pasquale, Molica Bisci, Giovanni   +1 more
core   +5 more sources

Strictly or Semitrivial Principal Eigensurface for p,q-Biharmonic Systems

Advances in Mathematical Physics, 2022
This paper extends the eigensurface of p-bilaplacian operator to examine existence and simplicity of the first eigensurface for the third-order spectrum of p,q-biharmonic systems subject to boundary conditions.
Têlé Jonas Doumate, Liamidi Leadi, Lawouè Robert Toyou   +2 more
doaj   +2 more sources

ON APPROXIMATION OF STATE-CONSTRAINED OPTIMAL CONTROL PROBLEM IN COEFFICIENTS FOR p-BIHARMONIC EQUATION

Journal of Optimization, Differential Equations and Their Applications, 2018
We study a Dirichlet-Navier optimal design problem for a quasi-linear mono- tone p-biharmonic equation with control and state constraints. The coecient of the p-biharmonic operator we take as a design variable in BV ( )\L1( ).
Peter I. Kogut, Olha P. Kupenko
doaj   +3 more sources

Ground state solutions for p-biharmonic equations

Electronic Journal of Differential Equations, 2017
In this article we study the p-biharmonic equation $$ \Delta_p^2u+V(x)|u|^{p-2}u=f(x,u),\quad x\in\mathbb{R}^N, $$ where $\Delta_p^2u=\Delta(|\Delta u|^{p-2}\Delta u)$ is the p-biharmonic operator.
Xiaonan Liu, Haibo Chen, Belal Almuaalemi   +2 more
doaj   +2 more sources

Existence results for nonhomogeneous Choquard equation involving p-biharmonic operator and critical growth

Demonstratio Mathematica
In this article, we are interested in the existence of nontrivial solutions for the following nonhomogeneous Choquard equation involving the pp-biharmonic operator: M∫Ω∣Δu∣pdxΔp2u−Δpu=λ(∣x∣−μ⁎∣u∣q)∣u∣q−2u+∣u∣p*−2u+f,inΩ,u=Δu=0,on∂Ω,\left\{\begin{array}{l}
Hai Quan, Zhang Jing
doaj   +2 more sources

The lower bounds for the first eigenvalue of the biharmonic and \(p\)-biharmonic operators on Finsler manifolds [PDF]

Osaka Journal of Mathematics
The main aim of this paper is to obtain lower bounds for the first eigenvalue of the biharmonic and \(p\)-biharmonic operators on Finsler manifold assuming lower bounds for the weighted Ricci curvature of the underlying space. These problems go back to \textit{A. Lichnérowicz} [Géométrie des groupes de transformations.
Hajiaghasi, Sakineh, Azami, Shahroud
core   +4 more sources

Existence of solutions to hemivariational inequalities involving the p(x)-biharmonic operator

Electronic Journal of Differential Equations, 2015
This article concerns the existence of solutions to boundary-value problems involving the p(x)-biharmonic operator. Our technical approach is the variational-hemivariational inequality on bounded domains by using the mountain pass theorem and the ...
Mohsen Alimohammady, Fariba Fattahi
doaj   +1 more source

Existence of multiple solutions for a p(x)-biharmonic equation

Electronic Journal of Differential Equations, 2013
In this article, we show the existence of at least three solutions to a Navier boundary problem involving the p(x)-biharmonic operator. The technical approach is mainly base on a three critical points theorem by Ricceri.
Lin Li, Ling Ding, Wen-Wu Pan
doaj   +1 more source