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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Multiple solutions for a Kirchhoff-type fractional coupled problem with p-Laplacian
p-Laplacian算子 Kirchhoff型分数 耦合问题 多重解
2023/11/13
We discuss a class of two-parameters coupled Kirchhoff-type fractional differential equations. Two differentiated methods are used to prove the existence of two solutions to the equation. The fundamen...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Multiple solutions for semilinear subelliptic Dirichlet problem
半线性 次椭圆 狄利克雷问题 多种解
2023/4/27
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Multiple solutions for semilinear subelliptic Dirichlet problem。
Multiple Solutions for a Fourth Order Asymptotically Linear Elliptic Problem
Fourth-order elliptic boundary value problem Mountain Pass theorem Morse theory
2007/12/12
Under simple conditions, we prove the existence of three solutions for a fourth-order asymptotically linear elliptic boundary value problem. For the resonance case at infinity, we do not need to assum...
Multiple Solutions of the Singular Impulsive Boundary Value Problems on the Half-line
Boundary value problems impulses fixed point index
2007/12/11
This paper presents some results on the existence of double solutions for singular impulsive boundary value problems on the half line.
Multiple Solutions and Its Morse Index for One-Dimensional Nonlinear Problem
Nonlinear problem multiple solutions series expression Morse index
2007/12/11
The multiple solutions for one-dimensional cubicnonlinear problem $u''+u^3=0,u(0)=u(\pi)=0$ are computed, on thebasis of the eigenpairs of $-\phi''_k=\lambda_k \phi_k, \ k=1,2,3\cdots$. There exist t...
In this paper, we consider the existence of solutions for the following equation: where g(x)≥0, g(x)0, and g(x)∈H-1(R3). We prove that there exists a constant C, if ||g(x)||H-1 ≤C, there are at least ...
EXISTENCE OF MULTIPLE SOLUTIONS AND BIFURCATION FOR CRITICAL SEMILINEAR BIHARMONIC EQUATIONS
Biharmonic equation critical exponent mu
2007/8/7
We inverstigate in this paper the existence problem for a critical semilinear biharmonic problem defined on a bounded domain.It is verified that the Palais-Smale condition holds true in certain interv...