Wyniki wyszukiwania

1

An extension of a multiplicity theorem by Ricceri with an application to a class of quasilinear equations

100%

Faraci F., Iannizzotto A.

Studia Mathematica

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2006

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tom 172

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nr 3

275-287

EN

A recent multiplicity result by Ricceri, stated for equations in Hilbert spaces, is extended to a wider class of Banach spaces. Applications to nonlinear boundary value problems involving the p-Laplacian are presented.

2

Bifurcation theorems for nonlinear problems with lack of compactness

100%

Faraci F., Livrea R.

Annales Polonici Mathematici

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2003

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tom 82

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nr 1

77-85

EN

We deal with a bifurcation result for the Dirichlet problem ⎧$-Δ_{p}u = μ/|x|^{p} |u|^{p-2}u + λf(x,u)$ a.e. in Ω, ⎨ ⎩$u_{|∂Ω} = 0$. Starting from a weak lower semicontinuity result by E. Montefusco, which allows us to apply a general variational principle by B. Ricceri, we prove that, for μ close to zero, there exists a positive number $λ*_{μ}$ such that for every $λ ∈ ]0,λ*_{μ}[$ the above problem admits a nonzero weak solution $u_{λ}$ in $W₀^{1,p}(Ω)$ satisfying $lim_{λ→0⁺} ||u_{λ}|| = 0$.

3

Multiple solutions for some Dirichlet problems with nonlocal terms

100%

Cammaroto F., Faraci F.

Annales Polonici Mathematici

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2012

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tom 105

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nr 1

31-42

EN

We deal with some Dirichlet problems involving a nonlocal term. The existence of two nonzero, nonnegative solutions is achieved by applying a recent result by Ricceri.

Ograniczanie wyników

2 Annales Polonici Mathematici

1 Studia Mathematica

3 Faraci F.

1 Cammaroto F.

1 Iannizzotto A.

1 Livrea R.

1 2012

1 2006

1 2003

An extension of a multiplicity theorem by Ricceri with an application to a class of quasilinear equations

Bifurcation theorems for nonlinear problems with lack of compactness

Multiple solutions for some Dirichlet problems with nonlocal terms