Multiple positive solutions for a class of concave-convex semilinear elliptic equations in unbounded domains with sign-changing weights

DOI10.1155/2010/856932zbMath1207.35151OpenAlexW2143036482WikidataQ59252828 ScholiaQ59252828MaRDI QIDQ610826

Tsing-San Hsu

Publication date: 13 December 2010

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

Full work available at URL: https://eudml.org/doc/229342

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Weak solutions to PDEs (35D30) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09)

Related Items (3)

Unnamed Item ⋮ Multiplicity of solutions for Schrödinger equations with concave-convex nonlinearities ⋮ Multiple solutions for Schrödinger equations involving concave-convex nonlinearities without (\textit{AR})-type condition

Cites Work

• Unnamed Item
• Nonlinear scalar field equations. I: Existence of a ground state
• Multiple positive solutions for semilinear Dirichlet problems with sign-changing weight function in infinite strip domains
• Multiple positive solutions for Dirichlet problems involving concave and convex nonlinearities
• Multiple positive solutions for a class of concave-convex elliptic problems in \(\mathbb R^N\) involving sign-changing weight
• Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
• Qualitative properties of positive solutions of semilinear elliptic equations in symmetric domains via the maximum principle
• 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 mountain passes for semilinear elliptic problems in unbounded domains
• Multiplicity results for some nonlinear elliptic equations
• Multiple positive solutions for semilinear elliptic equations in \(\mathbb R^N\) involving concave-convex nonlinearities and sign-changing weight functions
• On semilinear elliptic equations involving concave--convex nonlinearities and sign-changing weight function
• Schrödinger equations with concave and convex nonlinearities
• Multiplicity results for a family of semilinear elliptic problems under local superlinearity and sublinearity
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Multiplicity of positive solutions for semilinear elliptic equations in $\mathbb{R}^{N}$
• Multiplicity of positive solutions for semilinear elliptic equations involving the critical sobolev exponents
• Multiple positive solutions for semilinear elliptic equations in N involving subcritical exponents
• Exact multiplicity for semilinear elliptic Dirichlet problems involving concave and convex nonlinearities
• SOBOLEV VERSUS HÖLDER LOCAL MINIMIZERS AND GLOBAL MULTIPLICITY FOR SOME QUASILINEAR ELLIPTIC EQUATIONS
• A Necessary and Sufficient Condition for Palais--Smale Conditions

This page was built for publication: Multiple positive solutions for a class of concave-convex semilinear elliptic equations in unbounded domains with sign-changing weights