Infinitely many solutions for nonlocal elliptic p-Kirchhoff type equation under Neumann boundary condition

2013 ◽  
Vol 7 ◽  
pp. 1011-1022 ◽  
Author(s):  
E. M. Hssini ◽  
M. Massar ◽  
M. Talbi ◽  
N. Tsouli
Keyword(s):  
Boundary Condition ◽  
Neumann Boundary Condition ◽  
Type Equation ◽  
Neumann Boundary ◽  
Infinitely Many Solutions ◽  
Kirchhoff Type ◽  
Kirchhoff Type Equation

scholarly journals ON AN ELLIPTIC SYSTEM OF P(X)-KIRCHHOFF-TYPE UNDER NEUMANN BOUNDARY CONDITION

2012 ◽  
Vol 17 (2) ◽  
pp. 161-170 ◽  
Author(s):  
Zehra Yucedag ◽  
Mustafa Avci ◽  
Rabil Mashiyev
Keyword(s):  
Boundary Condition ◽  
Weak Solution ◽  
Variational Principle ◽  
Variational Method ◽  
Elliptic System ◽  
Neumann Boundary Condition ◽  
Existence Of Solutions ◽  
Neumann Boundary ◽  
Kirchhoff Type ◽  
Direct Variational Method

In the present paper, by using the direct variational method and the Ekeland variational principle, we study the existence of solutions for an elliptic system of p(x)-Kirchhoff-type under Neumann boundary condition and show the existence of a weak solution.

Two weak solutions for some Kirchhoff-type problem with Neumann boundary condition

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Moloud Makvand Chaharlang ◽  
Abdolrahman Razani
Keyword(s):  
Boundary Condition ◽  
Sobolev Spaces ◽  
Weak Solutions ◽  
Neumann Boundary Condition ◽  
Mountain Pass Theorem ◽  
Minimum Principle ◽  
Neumann Boundary ◽  
Type Problem ◽  
Kirchhoff Type ◽  
Kirchhoff Type Problem

AbstractIn this article we prove the existence of at least two weak solutions for a Kirchhoff-type problem by using the minimum principle, the mountain pass theorem and variational methods in Orlicz–Sobolev spaces.

scholarly journals Existence and multiplicity of solutions for a $p(x)$-Kirchhoff type problems

2014 ◽  
Vol 33 (2) ◽  
pp. 203-217 ◽  
Author(s):  
El Miloud Hssini ◽  
Mohammed Massar ◽  
Najib Tsouli
Keyword(s):  
Boundary Condition ◽  
Variational Methods ◽  
Neumann Boundary Condition ◽  
Neumann Boundary ◽  
Technical Approach ◽  
Multiplicity Of Solutions ◽  
Kirchhoff Type ◽  
Existence And Multiplicity ◽  
Kirchhoff Type Problems

This paper is concerned with the existence and multiplicity of solutions for a class of $p(x)$-Kirchhoff type equations with Neumann boundary condition. Our technical approach is based on variational methods.

scholarly journals Prescribing Gaussian and Geodesic Curvature on Disks

2018 ◽  
Vol 18 (3) ◽  
pp. 453-468 ◽  
Author(s):  
Sergio Cruz-Blázquez ◽  
David Ruiz
Keyword(s):  
Boundary Condition ◽  
Neumann Boundary Condition ◽  
Type Equation ◽  
Neumann Boundary ◽  
Geodesic Curvature ◽  
Liouville Type ◽  
Conformal Change ◽  
Variational Framework ◽  
Non Linear

Abstract In this paper, we consider the problem of prescribing the Gaussian and geodesic curvature on a disk and its boundary, respectively, via a conformal change of the metric. This leads us to a Liouville-type equation with a non-linear Neumann boundary condition. We address the question of existence by setting the problem in a variational framework which seems to be completely new in the literature. We are able to find minimizers under symmetry assumptions.

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