In this paper, we consider nonlinear Dirichlet problem driven by the p-Laplacian differential operator. Using variational methods based on the critical point theory and truncation techniques, we prove the existence of at least three nontrivial smooth solutions. The hypotheses on the nonlinearity ...
In this paper we deal with multiplicity of positive solutions to the p-Laplacian equation of the type −div|∇u|p−2∇u=μuq−1+up∗−1,u∈W1,p0(Ω), where Ω⊂RN is a bounded domain, N⩾p2, 2⩽p⩽q<p∗, p∗=Np/(N−p), and μ is a positive paramet...
This paper investigates the existence and multiplicity of solutions for p ( x ) -Laplacian equations in R N .XianlingFanandXiaoyouHanSDOSNonlinear Analysis: Theory, Methods & ApplicationsFAN X L, HAN X. Y. Existence and Multiplicity of Solutions for Laplacian Equations in [J]. Nonlinear Anal....
2.The Multiplicity of Generalized Fibonacci Sequences;广义Fibonacci数列的多重性 3.Ananalysis of Beloved s Identifies and Thesis;宠儿身份多重性——多角度揭示主题 4.Existence and Multiplicity of Solutions for a Class of p-Laplacian Equations;一类p-Laplacian方程解的存在性及多重性 5.Existence and Mul...
This paper is concerned with the nonexistence and existence, multiplicity and bifurcation of solutions for critical semilinear polyharmonic equations. Foll... B Xuan,CHEN Zuchi Department of Mathematics, University of Science and Technology of China, Hefei , China - 《系统科学与复杂性学报(英文版)》...
Goyal and K. Sreenadh, On multiplicity of positive solutions for N-Laplacian with sin- gular and critical nonlinearity, Complex Variables and Elliptic Equations, 59(12) (2014), 1636-1649.S. Goyal and K. Sreenadh, On multiplicity of positive solutions for N-Laplacian with singular and ...
In this paper, we investigate the existence of solutions for the noncooperative Schr枚dinger-Kirchhoff-type system involving the fractional p-Laplacian and critical nonlinearities in R. By applying the Limit Index Theory due to Li (Nonlinear Anal 25:1371-1389, 1995) and the fractional version of...
The Existence and Multiplicity of Solutions for Singular Boundary Value Systems with p-LaplacianCoupled Singular Boundary Value ProblemPositive SolutionFixed Point Index TheoremWe study the nonlinear elliptic boundary value problem $$ A u = f(x,u) quad { m in }Omega,,$$ $$ Bu = g(x,u) ...
Existence and Multiplicity of Solutions for Semipositone Problems Involving p-LaplacianMathematics(GeneralWe prove existence and multiplicity of positive solutions for semipositone problems involving p -Laplacian in a bounded smooth domain of ??? N under the cases of sublinear and superlinear ...
We study the existence and multiplicity of solutions of the following nonlinear Schrödinger equation in the presence of magnetic field: {(−iε∇+A(x))2u+V(x)u=(K(x)∗|u|p)|u|p−2u,|u|∈H1(RN) where V:RN→R is the external potential, K:RN→R...