Multiple positive solutions for singular elliptic equations with concave-convex nonlinearities and sign-changing weights

DOI10.1155/2009/584203zbMath1171.35383OpenAlexW2054787543WikidataQ59248994 ScholiaQ59248994MaRDI QIDQ1026841

Tsing-San Hsu, Huei-li Lin

Publication date: 6 July 2009

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

Full work available at URL: https://eudml.org/doc/55927

zbMATH Keywords

existencemultiplicityDirichlet problemssingular elliptic equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Variational methods for second-order elliptic equations (35J20)

Related Items (13)

Positive solutions for nonlinear Choquard equation with singular nonlinearity ⋮ Existence and multiplicity results for an elliptic problem involving cylindrical weights and a homogeneous term \(\mu \) ⋮ Existence of two solutions for a critical elliptic problem with nonlocal term in \(\mathbb{R}^4\) ⋮ Multiple positive solutions for \(p\)-Laplace elliptic equations involving concave-convex nonlinearities and a Hardy-type term ⋮ Multiplicity of positive solutions for weighted quasilinear elliptic equations involving critical Hardy-Sobolev exponents and concave-convex nonlinearities ⋮ Nonlinear elliptic equations with singular terms and combined nonlinearities ⋮ Multiplicity of positive solutions for Kirchhoff type problem involving critical exponent and sign-changing weight functions ⋮ The Choquard equation with weighted terms and Sobolev-Hardy exponent ⋮ The existence of solutions for quasilinear elliptic problems with multiple Hardy terms ⋮ On the elliptic problems involving multisingular inverse square potentials and concave-convex nonlinearities ⋮ Multiple positive solutions for semilinear elliptic equations involving multi-singular inverse square potentials and concave-convex nonlinearities ⋮ Multiple positive solutions for a quasilinear elliptic problem involving critical Sobolev-Hardy exponents and concave-convex nonlinearities ⋮ Multiple positive solutions for a Dirichlet problem involving critical Sobolev exponent

Cites Work

• Unnamed Item
• Multiple positive solutions for a class of nonlinear elliptic equations
• The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function.
• Existence of solutions for a nonlinear PDE with an inverse square potential.
• Multiplicity results for some nonlinear elliptic equations
• On semilinear elliptic equations involving concave--convex nonlinearities and sign-changing weight function
• A semilinear elliptic system involving nonlinear boundary condition and sign-changing weight function
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• On an Elliptic Equation with Concave and Convex Nonlinearities
• Existence of solutions for singular critical growth semilinear elliptic equations

This page was built for publication: Multiple positive solutions for singular elliptic equations with concave-convex nonlinearities and sign-changing weights