then the equations have infinitely many solution. Answer and Explanation:1 example:- let 9x+3y+12=0 and 18x+6b+24=0 are two linear equation. here a_1=9 ,a_2= 18 , b_1 = 3, b_2= 6 , c_1 = 12 and c_2 = 24 so we have ... ...
We prove the existence of infinitely many non-radial positive solutions for the Schro spexpressioncing diexpressioneresis dinger-Newton system { delta u - V (|x|)u + Psi u =0, x is an element of R-3, delta Psi + 1/2 u(2) = 0, x is an element of R-3, provided that V (...
Any linear equation can be written in the form {eq}ax + by + c = 0 {/eq}. Thus two lines can have no solutions (If they are parallel) and also have infinite number of solutions if they are essentially the same lines. Two lines {eq}a_1x + b_1y + c_1 = 0 {/eq}...
Equations with an infinite number of solutions If a linear equation has the same variable term and the same constant value on both sides of the equation, it has infinitely many solutions. For example, 9 + 7 x = 7 x + 9 has the same variable term, 7 x, and the same constant term...
In this paper we look for weak solutions of the quasilinear elliptic model problem −div(A(x,u)∇u)+12At(x,u)|∇u|2=g(x,u)+h(x)in Ω,u=0on ∂Ω,where Ω⊂RN is a bounded domain, N≥2, the real terms A(x,t), At(x,t)=∂A∂t(x,t) and g(x,t) are...
Infinitely many solutions for p-Laplacian equation involving critical Sobolev growth 来自 dx.doi.org 喜欢 0 阅读量: 254 作者:D Cao,S Peng,S Yan 摘要: In this paper, we will prove the existence of infinitely many solutions for the following elliptic problem with critical Sobolev growth:Δpu=...
This paper deals with a p(x)-Laplacian equation in R-N. By means of a direct variational approach and the theory of the variable exponent Sobolev spaces, we establish the existence of infinitely many distinct homoclinic radially symmetric solutions whose W-1.p(x)(R-N)-norms tend to zero ...
Gromov-Hausdorff stability of inertial manifolds under perturbations of the domain and equation Journal of Mathematical Analysis and Applications, Volume 494, Issue 2, 2021, Article 124623 JihoonLee,NgocthachNguyen Three dimensional 2-Hopf hypersurfaces with harmonic curvature ...
System of Equations With Infinite and No solutions: We can solve the system of equations using the substitution method, elimination method, etc. If this process leads to an equation without variables that is true then we say that the system has ...
Keywords Kirchhoff type equation Sign-changing potential Infinitely many solutions Super-quadratic growth 1. IntroductionIn this paper, we study the existence of infinitely many solutions for the Kirchhoff-type equation (1.1)−a+b∫R3|∇u|2dx△u+V(x)u=f(x,u),x∈R3,u...