General Lidstone Problems: Multiplicity and Symmetry of Solutions

Positive Solutions of Singular Complementary Lidstone Boundary Value Problems

Positive Solutions of Complementary Lidstone Boundary Value Problems

Positive Solutions of Complementary Lidstone Boundary Value Problems Ravi P. Agarwal and Patricia J. Y. Wong Department of Mathematics, Texas A&M University – Kingsville, Kingsville, TX 78363, USA. e-mail: [email protected]; Department of Mathematics, Faculty of Science, King Abdulaziz University, 21589 Jeddah, Saudi Arabia. School of Electrical and Electronic Engineering, Nanyang Technological...

Deformation from Symmetry and Multiplicity of Solutions in Non-homogeneous Problems

Perturbation from symmetry and multiplicity of solutions for elliptic problems with subcritical exponential growth in R

We consider the following boundary value problem    −∆u = g(x, u) + f (x, u) x ∈ Ω u = 0 x ∈ ∂Ω where g(x, −ξ) = −g(x, ξ) and g has subcritical exponential growth in R 2. Using the method developed by Bolle, we prove that this problem has infinitely many solutions under suitable conditions on the growth of g(u) and f (u).

Multiplicity of solutions for critical singular problems

[1] R. B. Assunção, P. C. Carrião, O. H. Miyagaki, Multiplicity of solutions for critical singular problems, Applied Mathematics Letters 19 (2006) 741–746. [2] R. B. Assunção, P. C. Carrião, O. H. Miyagaki, Critical singular problems via concentration-compactness lemma, J. Math. Anal. Appl. 326 (2007), 137–154. [3] J. Chen, S. Li, On multiple solutions of a singular quasilinear equation on unbo...