two equations are called a pair of linear equations in two variables if that two-equation are in the same two variables. A solution to a pair of linear equation in two variable is an ordered pair of the real numbers which satisfy both the equation. Infinitely many solu...
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 (...
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 ...
Infinitely many solutions for p-biharmonic equation with general potential and concave-convex nonlinearity in R N $\\mathbb{R}^{N}$ In this paper, we study the existence of multiple solutions to a class of p-biharmonic elliptic equations, \\\(\\\Delta^{2}_{p}u-\\\Delta_{p}u+V(x...
nonlinear schrödinger equationnon-symmetricBoth of them satisfy some decay conditions but without any symmetric conditions and f(u) is a superlinear nonlinearity satisfying some non-degeneracy condition. Applying two times finite reduction methods and localized energy method, we prove tha...
Existence of forced vibrations of nonlinear wave equation: u tt -u xx ±|u| p-1 u=f(x,t),(x,t)∈(0,π)×, u(0,t)=u(π,t)=0,t∈, u(x,t+2π)=u(x,t),(x,t)∈(0,π)×, is considered. For all p∈(1,∞) and f(x,t)∈L (p+1)/p , existence of...
The main objective is to prove the existence of infinitely many positive radially symmetric solutions of the semilinear biharmonic equation Δ 2 u=p(|x|)u γ ,x∈ N , where γ≠1 is a real constant and p:[0,∞) is a continuous function. ... Takai Kusano,CA Swanson - 《Hiroshima Ma...
Quasilinear elliptic equationsdouble critical termsboundary geometry conditioninfinitely many solutionsapproximation argumentIn this paper, we study the following problem In this paper, we study the following quasilinear elliptic problem Key words: Quasilinear elliptic equations, double critical terms, boundary...
We study the existence of infinitely many solutions for a generalized p(·)㎜aplace equation involving Leray–Lions operators. Firstly, under a p(·)﹕ubli... HH Ha,K Ho,I Sim - 《Mathematical Methods in the Applied Sciences》 被引量: 0发表: 2021年 The Navier-Stokes equations in primit...
Infinitely many solutions for a differential inclusion problem in R N involving p(x)-Laplacian and oscillatory terms - Ge, Zhou, et al. () Citation Context ... there exists r > 0 such that for all M > 0, ({x ⋂ ) N µ ∈ R : V(x) ≤ M} Br(y) = 0, where µ ...