Existence and multiplicity results for a class of p-Laplacian problems with Neumann–Robin boundary conditions
Review articleOpen access
Abstract:

AbstractIn this paper, we study the following Neumann–Robin boundary value problem-(ϕp(u′(x)))′=λf(u(x)),x∈(0,1),u′(0)=0,u′(1)+αu(1)=0,whereα ∈ R, λ > 0 are parameters and p > 1, and p′=pp-1 is the conjugate exponent of p and ϕp(x): = ∣x∣p−2x for all x ∈ R where (ϕp(u′))′ is the one dimensional p-Laplacian and f ∈ C2[0, ∞) such that f(0) < 0, or f(0) > 0, and also f is increasing and concave up. We shall investigate the existence and multiplicity of nonnegative solutions. Note that in this paper, we shall establish our existence results by using the quadrature method.

Request full text

References (0)

Cited By (0)

No reference data.
No citation data.
Advertisement
Join Copernicus Academic and get access to over 12 million papers authored by 7+ million academics.
Join for free!