A perturbation result of semilinear elliptic equations in exterior strip domains

DOI10.1017/S0308210500026858zbMath0884.35038MaRDI QIDQ4361921

Hwai-Chiuan Wang, Tsing-San Hsu

Publication date: 10 March 1998

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

existenceperturbed Dirichlet problemtwo positive solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Perturbations in context of PDEs (35B20)

Related Items (12)

Multiplicity and concentration of solutions for nonhomogeneous elliptic equations in multi-bump domains ⋮ Three positive solutions of semilinear elliptic equations in the half space with a hole ⋮ Three positive solutions of nonhomogeneous semilinear elliptic equations ⋮ Three positive solutions of semilinear elliptic equations in exterior cylinder domains ⋮ Four positive solutions of semilinear elliptic equations in exterior domains ⋮ Existence of positive solutions for some nonlinear elliptic equations on unbounded domains with cylindrical ends. ⋮ Multiple positive solutions of quasilinear elliptic equations in \(\mathbb{R}^n\) ⋮ Existence and bifurcation for some elliptic problems on exterior strip domains ⋮ Existence of multiple positive solutions of subcritical semilinear elliptic problems in exterior strip domains ⋮ Four positive solutions of semilinear elliptic equations involving concave and convex nonlinearities in \(\mathbb R^N\) ⋮ Symmetry of positive solutions of semilinear elliptic equations in infinite strip domains ⋮ A Palais-Smale approach to problems in Esteban-Lions domains with holes

Cites Work

• Positive solutions of some nonlinear elliptic problems in exterior domains
• A perturbation result on positive entire solutions of a semilinear elliptic equation
• Morse index of some min-max critical points. I. Application to multiplicity results
• Morse indices at critical points related to the symmetric mountain pass theorem and applications
• Nonconvex minimization problems
• Remarks on finding critical points
• Elliptic Partial Differential Equations of Second Order

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