Multiple positive solutions of semilinear elliptic equations involving concave and convex nonlinearities in \({\mathbb R^N}\)

DOI10.1186/1687-2770-2012-24zbMath1276.35084OpenAlexW2027080712WikidataQ59271237 ScholiaQ59271237MaRDI QIDQ361618

Huei-li Lin

Publication date: 29 August 2013

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2012-24

zbMATH Keywords

semilinear elliptic equationspositive solutionsconcave and convex

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61)

Related Items (2)

Multiple positive solutions of fractional elliptic equations involving concave and convex nonlinearities in \(\mathbb R^N\) ⋮ Unique positive solution of semilinear elliptic equations involving concave and convex nonlinearities in \(\mathbb R^N\)

Cites Work

• Symmetry and related properties via the maximum principle
• A perturbation result on positive entire solutions of a semilinear elliptic equation
• Combined effects of concave and convex nonlinearities in some elliptic problems
• The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function.
• Local superlinearity and sublinearity for indefinite semilinear elliptic problems.
• Multiplicity results for some nonlinear elliptic equations
• Four positive solutions of semilinear elliptic equations involving concave and convex nonlinearities in \(\mathbb R^N\)
• On semilinear elliptic equations involving concave--convex nonlinearities and sign-changing weight function
• Existence of entire positive solutions for nonhomogeneous elliptic equations
• Multiple positive solutions of nonhomogeneous semilinear elliptic equations in ℝ^N

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