MULTIPLE EXISTENCE OF SOLUTIONS FOR A NONHOMOGENEOUS ELLPITIC PROBLEMS ON R N

DOI10.7858/eamj.2018.049zbMath1428.35137OpenAlexW3158590520MaRDI QIDQ5239797

Norimichi Hirano, Wan Se Kim

Publication date: 22 October 2019

Full work available at URL: https://www.koreascience.or.kr:443/article/JAKO201831446783708.pdf

zbMATH Keywords

positive solutionsentire solutionssemilinear elliptic equation with Laplacian

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Cites Work

• A perturbation result on positive entire solutions of a semilinear elliptic equation
• The effect of concentrating potentials in some singularly perturbed problems
• Existence of multiple positive solutions for a semilinear elliptic equation
• An inhomogeneous semilinear equation in entire space
• Three nodal solutions of singularly perturbed elliptic equations on domains without topology
• A Generalization of the notion of a $P$-space to proximity spaces
• Existence of entire positive solutions for nonhomogeneous elliptic equations
• Multiple positive solutions of nonhomogeneous semilinear elliptic equations in ℝ^N