Existence of solutions for a p(x)-biharmonic problem under Neumann boundary conditions

2019 ◽  
pp. 1-12
Author(s):  
Mounir Hsini ◽  
Nawal Irzi ◽  
Khaled Kefi
Keyword(s):  
Boundary Conditions ◽  
Existence Of Solutions ◽  
Neumann Boundary ◽  
Neumann Boundary Conditions ◽  
Biharmonic Problem

scholarly journals Existence of solutions for quasilinear problem with Neumann boundary conditions

2022 ◽  
Vol 40 ◽  
pp. 1-8
Author(s):  
Samira Lecheheb ◽  
Hakim Lakhal ◽  
Messaoud Maouni
Keyword(s):  
Boundary Conditions ◽  
Heat Equation ◽  
Existence Of Solutions ◽  
Neumann Boundary ◽  
Neumann Boundary Conditions ◽  
Compactness Method ◽  
Quasilinear Systems ◽  
Quasilinear Problem

My abstract is:This paper is devoted to the study of the existence of weak solutionsfor quasilinear systems of a partial dierential equations which are the combinationof the Perona-Malik equation and the Heat equation. The proof of the main resultsare based on the compactness method and the motonocity arguments.

scholarly journals Existence and multiplicity of solutions for a p(x)-biharmonic problem with Neumann boundary conditions

2022 ◽  
Vol 40 ◽  
pp. 1-15
Author(s):  
Fouzia Moradi ◽  
Abdel Rachid El Amrouss ◽  
Mimoun Moussaoui
Keyword(s):  
Boundary Conditions ◽  
Critical Point ◽  
Point Theorem ◽  
Neumann Boundary ◽  
Neumann Boundary Conditions ◽  
Critical Point Theorem ◽  
Multiplicity Of Solutions ◽  
Biharmonic Problem ◽  
Existence And Multiplicity

In this paper, we study the p(x)-biharmonique problem with Neumannboundary conditions. Using the three critical point Theorem, we establish the existence of at least threesolutions of this problem.

scholarly journals Existence of solutions for a fourth order eigenvalue problem with variable exponent under Neumann boundary conditions

2016 ◽  
Vol 34 (1) ◽  
pp. 253-272
Author(s):  
Khalil Ben Haddouch ◽  
Zakaria El Allali ◽  
Najib Tsouli ◽  
Siham El Habib ◽  
Fouad Kissi
Keyword(s):  
Boundary Conditions ◽  
Fourth Order ◽  
Variable Exponent ◽  
Existence Of Solutions ◽  
Neumann Boundary ◽  
Growth Conditions ◽  
Neumann Boundary Conditions ◽  
Order Elliptic Equation ◽  
Fourth Order Eigenvalue Problem ◽  
Fourth Order Elliptic Equation

In this work we will study the eigenvalues for a fourth order elliptic equation with $p(x)$-growth conditions $\Delta^2_{p(x)} u=\lambda |u|^{p(x)-2} u$, under Neumann boundary conditions, where $p(x)$ is a continuous function defined on the bounded domain with $p(x)>1$. Through the Ljusternik-Schnireleman theory on $C^1$-manifold, we prove the existence of infinitely many eigenvalue sequences and $\sup \Lambda =+\infty$, where $\Lambda$ is the set of all eigenvalues.

scholarly journals Normalized solutions to a Schrödinger–Bopp–Podolsky system under Neumann boundary conditions

2021 ◽  
Author(s):  
Danilo G. Afonso ◽  
Gaetano Siciliano
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Boundary Conditions ◽  
Compatibility Condition ◽  
Boundary Data ◽  
Existence Of Solutions ◽  
Neumann Boundary ◽  
Coupling Factor ◽  
Neumann Boundary Conditions ◽  
Normalized Solutions

In this paper, we study a Schrödinger–Bopp–Podolsky (SBP) system of partial differential equations in a bounded and smooth domain of [Formula: see text] with a nonconstant coupling factor. Under a compatibility condition on the boundary data we deduce existence of solutions by means of the Ljusternik–Schnirelmann theory.

scholarly journals Blow-up analyses in nonlocal reaction diffusion equations with time-dependent coefficients under Neumann boundary conditions

2020 ◽  
Vol 18 (1) ◽  
pp. 1552-1564
Author(s):  
Huimin Tian ◽  
Lingling Zhang
Keyword(s):  
Boundary Conditions ◽  
Blow Up ◽  
Sufficient Conditions ◽  
Neumann Boundary ◽  
Reaction Diffusion ◽  
Neumann Boundary Conditions ◽  
Reaction Diffusion Equations ◽  
Time Dependent ◽  
Diffusion Equations ◽  
Nonlocal Reaction

Abstract In this paper, the blow-up analyses in nonlocal reaction diffusion equations with time-dependent coefficients are investigated under Neumann boundary conditions. By constructing some suitable auxiliary functions and using differential inequality techniques, we show some sufficient conditions to ensure that the solution u ( x , t ) u(x,t) blows up at a finite time under appropriate measure sense. Furthermore, an upper and a lower bound on blow-up time are derived under some appropriate assumptions. At last, two examples are presented to illustrate the application of our main results.

Recovering differential operators with two constant delays under Dirichlet/Neumann boundary conditions

2020 ◽  
Vol 28 (2) ◽  
pp. 237-241
Author(s):  
Biljana M. Vojvodic ◽  
Vladimir M. Vladicic
Keyword(s):  
Boundary Conditions ◽  
Boundary Value Problems ◽  
Differential Operators ◽  
Boundary Value ◽  
Neumann Boundary ◽  
Neumann Boundary Conditions

AbstractThis paper deals with non-self-adjoint differential operators with two constant delays generated by {-y^{\prime\prime}+q_{1}(x)y(x-\tau_{1})+(-1)^{i}q_{2}(x)y(x-\tau_{2})}, where {\frac{\pi}{3}\leq\tau_{2}<\frac{\pi}{2}<2\tau_{2}\leq\tau_{1}<\pi} and potentials {q_{j}} are real-valued functions, {q_{j}\in L^{2}[0,\pi]}. We will prove that the delays and the potentials are uniquely determined from the spectra of four boundary value problems: two of them under boundary conditions {y(0)=y(\pi)=0} and the remaining two under boundary conditions {y(0)=y^{\prime}(\pi)=0}.

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