Some existence results for a new class of elliptic Kirchhoff equation with logarithmic source terms

2019 ◽  
Vol 37 (6) ◽  
pp. 8335-8344 ◽  
Author(s):  
Salah Boulaaras
Keyword(s):  
Existence Results ◽  
Kirchhoff Equation ◽  
Source Terms ◽  
New Class

scholarly journals On D-KKM theorem and its applications

2003 ◽  
Vol 67 (1) ◽  
pp. 67-77 ◽  
Author(s):  
H. K. Pathak ◽  
M. S. Khan
Keyword(s):  
Variational Inequalities ◽  
Existence Results ◽  
Kkm Theorem ◽  
Maximal Elements ◽  
New Class ◽  
Kkm Mappings ◽  
Set Valued Mappings ◽  
Convex Setting

In this paper, we introduce a new class of set-valued mappings in a non-convex setting called D-KKM mappings and prove a general D-KKM theorem. This extends and improves the KKM theorem for several families of set-valued mappings, such as (X, Y), C(X, Y), C (X, Y), C (X, Y) and C (X, Y). In the sequel, we apply our theorem to get some existence results for maximal elements, generalised variational inequalities, and price equilibria.

scholarly journals Existence results of nonlinear generalized proportional fractional differential inclusions via the diagonalization technique

2021 ◽  
Vol 6 (11) ◽  
pp. 12832-12844
Author(s):  
Mohamed I. Abbas ◽  
◽  
Snezhana Hristova ◽  
Keyword(s):  
Differential Inclusions ◽  
Existence Of Solutions ◽  
Existence Results ◽  
Inclusion Problem ◽  
Fractional Differential Inclusions ◽  
New Class ◽  
Nonlinear Alternative ◽  
Fractional Differential ◽  
Infinite Intervals ◽  
The Right

<abstract><p>The present paper is concerned with the existence of solutions of a new class of nonlinear generalized proportional fractional differential inclusions with the right-hand side contains a Carathèodory-type multi-valued nonlinearity on infinite intervals. The investigation of the proposed inclusion problem relies on the multi-valued form of Leray-Schauder nonlinear alternative incorporated with the diagonalization technique. By specializing the parameters involved in the problem at hand, an illustrated example is proposed.</p></abstract>

scholarly journals Global Existence and Decay Estimates of Energy of Solutions for a New Class of p -Laplacian Heat Equations with Logarithmic Nonlinearity

2021 ◽  
Vol 2021 ◽  
pp. 1-11
Author(s):  
Salah Mahmoud Boulaaras ◽  
Abdelbaki Choucha ◽  
Abderrahmane Zara ◽  
Mohamed Abdalla ◽  
Bahri-Belkacem Cheri
Keyword(s):  
Global Existence ◽  
Sufficient Conditions ◽  
Research Paper ◽  
Efficient Technique ◽  
Heat Equations ◽  
Decay Estimates ◽  
Source Terms ◽  
Estimates Of Solutions ◽  
New Class ◽  
Analytical Studies

The present research paper is related to the analytical studies of p -Laplacian heat equations with respect to logarithmic nonlinearity in the source terms, where by using an efficient technique and according to some sufficient conditions, we get the global existence and decay estimates of solutions.

scholarly journals Generalized bi-quasi-variational inequalities for quasi-pseudo-monotone type II operators in non-compact settings

Filomat ◽  
2016 ◽  
Vol 30 (7) ◽  
pp. 1801-1810
Author(s):  
Mohammad Chowdhury ◽  
Cho Yeol
Keyword(s):  
Variational Inequalities ◽  
Existence Results ◽  
Vector Spaces ◽  
Type Ii ◽  
Topological Vector Spaces ◽  
New Class ◽  
Locally Convex ◽  
Monotone Type

In this paper, we introduce a new class of generalized bi-quasi-variational inequalities for quasipseudo- monotone type II operators in non-compact settings of locally convex Hausdorff topological vector spaces and show the existence results of solutions for generalized bi-quasi-variational inequalities. Our results improve, extend and generalized the corresponding results given by some authors

scholarly journals Existence Results for Fractional Order Single-Valued and Multi-Valued Problems with Integro-Multistrip-Multipoint Boundary Conditions

2020 ◽  
Vol 4 (3) ◽  
pp. 31
Author(s):  
Sotiris K. Ntouyas ◽  
Bashir Ahmad ◽  
Ahmed Alsaedi
Keyword(s):  
Boundary Conditions ◽  
Existence Results ◽  
Inclusion Problem ◽  
Multipoint Boundary ◽  
New Class ◽  
Special Cases ◽  
Multipoint Boundary Conditions ◽  
Fractional Differential ◽  
Differential Equations And Inclusions ◽  
The Given

We study the existence of solutions for a new class of boundary value problems of arbitrary order fractional differential equations and inclusions, supplemented with integro-multistrip-multipoint boundary conditions. Suitable fixed point theorems are applied to prove some new existence results. The inclusion problem is discussed for convex valued as well as non-convex valued multi-valued map. Examples are also constructed to illustrate the main results. The results presented in this paper are not only new in the given configuration but also provide some interesting special cases.

Solutions for a Kirchhoff Equation with Weight and Nonlinearity with Subcritical and Critical Caffarelli–Kohn–Nirenberg Growth

2016 ◽  
Vol 59 (4) ◽  
pp. 925-944 ◽  
Author(s):  
Giovany M. Figueiredo ◽  
Mateus Balbino Guimarães ◽  
Rodrigo da Silva Rodrigues
Keyword(s):  
Boundary Value Problems ◽  
Nonlinear Boundary ◽  
Boundary Value ◽  
Existence Results ◽  
Kirchhoff Equation ◽  
Nonlinear Boundary Value Problems ◽  
Kirchhoff Type ◽  
Nonlinear Boundary Value

AbstractIn this paper we study the multiplicity of non-trivial solutions to a class of nonlinear boundary-value problems of Kirchhoff type. We prove existence results when the problem has nonlinearities with subcritical and with critical Caffarelli–Kohn–Nirenberg exponent.

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