Multiplicity of positive solutions for semilinear elliptic systems

DOI10.1155/2013/746380zbMath1277.35161OpenAlexW2015338532WikidataQ58917326 ScholiaQ58917326MaRDI QIDQ370175

Tsing-San Hsu

Publication date: 19 September 2013

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/746380

zbMATH Keywords

positive solutionssemilinear elliptic systemscritical nonlinearity

Mathematics Subject Classification ID

Semilinear elliptic equations (35J61) Second-order elliptic systems (35J47) Positive solutions to PDEs (35B09)

Related Items

Multiplicity of positive solutions for a semilinear elliptic system with strongly coupled critical terms and concave nonlinearities

Cites Work

• Unnamed Item
• Unnamed Item
• Existence and multiplicity of positive solutions to a perturbed singular elliptic system deriving from a strongly coupled critical potential
• Multiple positive solutions for semilinear elliptic systems
• Multiplicity of positive solutions for a semilinear \(p\)-Laplacian system with Sobolev critical exponent
• Existence and multiplicity of positive solutions for semilinear elliptic systems with Sobolev critical exponents
• High energy positive solutions of Neumann problem for an elliptic system of equations with critical nonlinearities
• Multiple positive solutions for a critical quasilinear elliptic system with concave-convex nonlinearities
• Existence of three nontrivial solutions for elliptic systems with critical exponents and weights
• Multiplicity results for \(p\)-Laplacian with critical nonlinearity of concave-convex type and sign-changing weight functions
• On nonhomogeneous elliptic equations involving critical Sobolev exponent
• Multiplicity results for an inhomogeneous Neumann problem with critical exponent
• The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function.
• On systems of elliptic equations involving subcritical or critical Sobolev exponents
• On the variational principle
• Minimax theorems
• A strong maximum principle for some quasilinear 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
• The Nehari manifold for a semilinear elliptic system involving sign-changing weight functions
• Multiple positive solutions of nonhomogeneous elliptic systems involving critical Sobolev exponents
• On the Neumann problem for an elliptic system of equations involving the critical Sobolev exponent
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Multiple positive solutions for a critical elliptic system with concave—convex nonlinearities
• On symmetric solutions of an elliptic equation with a nonlinearity involving critical Sobolev exponent