Exact multiplicity results and bifurcation for nonhomogeneous elliptic problems

DOI10.1016/j.na.2007.03.020zbMath1160.35337OpenAlexW2095401632MaRDI QIDQ943738

Kuan-Ju Chen

Publication date: 10 September 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.03.020

zbMATH Keywords

positive solutions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Variational methods applied to PDEs (35A15) Variational methods for second-order elliptic equations (35J20) Bifurcations in context of PDEs (35B32)

Related Items

Multiplicity and uniqueness of positive solutions for nonhomogeneous semilinear elliptic equation with critical exponent

Cites Work

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• Exactly two entire positive solutions for a class of nonhomogeneous elliptic equations.
• Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems
• Remarks on the Schrödinger operator with singular complex potentials
• On the existence of a positive solution of semilinear elliptic equations in unbounded domains
• Two positive solutions for a class of nonhomogeneous elliptic equations
• Dual variational methods in critical point theory and applications
• Bifurcation, perturbation of simple eigenvalues, and linearized stability
• Bifurcation in L^p (R^N ) for a Semilinear Elliptic Equation
• Existence of multiple positive solutions of inhomogeneous semilinear elliptic problems in unbounded domains
• Multiple positive solutions of nonhomogeneous semilinear elliptic equations in ℝ^N
• Exact multiplicity results for boundary value problems with nonlinearities generalising cubic
• Existence of positive solutions for a class of nonhomogeneous elliptic equations in \({\mathbb R}^N\)