We utilize a critical points theorem built by Bonanno and Bisci [Bonanno, Bisci, and Regan, Math. Comput. Model. 52(1-2):152鈥 160, 2010], which is an abstract critical points theorem without compactness condition, to obtain that these systems have infinitely many nontrivial solutions with...
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...
Applying two times finite reduction methods and localized energy method, we prove that there exists some ∈_0 > 0 such that for 0 < ∈ < ∈_0, the above problem has infinitely many complex-valued solutions.Discrete and continuous dynamical systemsWEIMING LIUSchool of Mathematics ...
Infinitely many solutions of a quasilinear elliptic problem with an oscillatory potential Let be a bounded domain in IR{sup N}, with N 1, having a smooth boundary . We denote by A the quasilinear elliptic second order differential operator def... P Omari,F Zanolin - 《Communications in ...
Using variational method and lower and upper solutions, we present a new approach to obtain the existence of infinitely many solutions of a second-order Sturm-Liouville system with impulse effects. As applications, we get arbitrary small sequence and unbounded sequence of nontrivial nonnegative soluti...
1.By means of the variational approach,in a condition weaker than(AR) the existence of infinitely many solutions of fourth-order elliptic equation is discussed.在比(AR)条件更弱的一类超线性条件之下,利用变分方法讨论了一类超线性四阶椭圆方程的无穷多解的存在性。
Thus, we are devoted to investigating the existence of infinitely many solutions for Schrödinger–Kirchhoff type equations involving a variable-order fractional p-Laplace operator by applying the fountain theorem and symmetric mountain pass theorem, respectively. Our work is different from the previous...
1) Infinitely many solutions 无穷多解 1. By means of the variational approach,in a condition weaker than(AR) the existence of infinitely many solutions of fourth-order elliptic equation is discussed. 在比(AR)条件更弱的一类超线性条件之下,利用变分方法讨论了一类超线性四阶椭圆方程的无穷多解的存在...
Kong, Infinitely many solutions for systems of Sturm- Liouville boundary value problems. Results Math. 66 (2014), 327-341.J.R. Graef, S. Heidarkhani and L. Kong, Infinitely many solutions for systems of Sturm-Liouville boundary value problems, Results in Mathematics, to appear....
In this paper, we study the existence of infinitely many solutions for a class of p(x)-Laplacian equations in RN, where the nonlinearity is sublinear. The main tool used here is a variational method combined with the theory of variable exponent Sobolev spaces. Recent results from the literatur...