MULTIPLE POSITIVE SOLUTIONS OF NONLINEAR EIGENVALUE PROBLEMS ASSOCIATED TO A CLASS OF p-LAPLACIAN LIKE OPERATORS

DOI10.1142/S0219199703001105zbMath1156.35384MaRDI QIDQ4474406

Kimiaki Narukawa, Nobuyoshi Fukagai

Publication date: 12 July 2004

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

zbMATH Keywords

nonlinear eigenvalue problemmultiple positive solutionminimum solution

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Bifurcations in context of PDEs (35B32)

Related Items (4)

OnW^1,pversusC¹(Ω) local minimizers for functionals with critical growth ⋮ Existence of nonnegative solutions for quasilinear elliptic equations with indefinite critical nonlinearities ⋮ Multiple positive solutions for a quasilinear elliptic equation with critical exponential nonlinearity ⋮ On the existence of multiple positive solutions of quasilinear elliptic eigenvalue problems

Cites Work

• A general mountain pass principle for locating and classifying critical points
• Positive entire solutions of semilinear elliptic equations
• Existence and nonexistence of nontrivial solutions of some nonlinear degenerate elliptic equations
• Combined effects of concave and convex nonlinearities in some elliptic problems
• Positive solutions of quasilinear boundary value problems
• Bifurcation phenomena associated to a class of \(p\)-Laplacian like operators
• Global bifurcation of a class of \(p\)-Laplacian like operators.
• Multiplicity results for some nonlinear elliptic equations
• On principal eigenvalues of \(p\)-Laplacian-like operators
• A strong maximum principle for some quasilinear elliptic equations
• Quasilinear elliptic equations involving critical Sobolev exponents
• On The Dirichletproblem for Quasilinear Equations
• Boundary regularity for solutions of degenerate elliptic equations
• Positive radial solutions of quasilinear elliptic partial differential equations on a ball
• Global bifurcation for quasilinear elliptic equations
• Multiplicity results for a degenerate elliptic equation with logistic reaction

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