Multiplicity of positive solutions for \(p\)-Laplace equation with superlinear-type nonlinearity.

DOI10.1016/j.na.2003.10.026zbMath1100.35038OpenAlexW2064241575MaRDI QIDQ1426715

S. Prashanth, Konijeti Sreenadh

Publication date: 15 March 2004

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.2003.10.026

zbMATH Keywords

multiplicitycritical exponentEmden-Fowler equation\(p\)-Laplace equations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for ordinary differential equations (34B15) Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items

Asymptotic behavior of positive solutions of a Dirichlet problem involving combined nonlinearities ⋮ Entire bounded solutions for a class of quasilinear elliptic equations ⋮ Existence and multiplicity for negative solutions of \(k\)-Hessian equations ⋮ Non-existence and existence of entire solutions for a quasi-linear problem with singular and super-linear terms ⋮ The \(p\)-Laplacian equation with superlinear and supercritical growth, multiplicity of radial solutions ⋮ Existence and boundary behavior of solutions to \(p\)-Laplacian elliptic equations

Cites Work

• Combined effects of concave and convex nonlinearities in some elliptic problems
• An elementary proof of the uniqueness of positive radial solutions of a quasilinear Dirichlet problem
• Uniqueness theorems for positive radial solutions of quasilinear elliptic equations in a ball
• Multiplicity results in a ball for \(p\)-Laplace equation with positive nonlinearity.
• Multiplicity results for some nonlinear elliptic equations
• Emden-Fowler equations involving critical exponents
• SOBOLEV VERSUS HÖLDER LOCAL MINIMIZERS AND GLOBAL MULTIPLICITY FOR SOME QUASILINEAR ELLIPTIC EQUATIONS
• Uniqueness of solutions of nonlinear Dirichlet problems
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