Abstract
In this work, by using a variational approach, we give a result on the existence and multiplicity of solutions concerned a class of nonlocal elliptic problems with variable exponent.
Highlights
For the function h we suppose the following conditions: (h1) There exist h3 > h1 > 0, h2 > 0 and β > 1 such that h1 ≤ h(t) ≤ h2|t|β + h3
We give the appropriate assumptions on f in order to state the basic result of this paper, (f1) f ∈ C(Ω × R, R) and there exists 1 < q(x) < p∗(x), such that
We present our main result, Theorem 1.1
Summary
For the function h we suppose the following conditions: (h1) There exist h3 > h1 > 0, h2 > 0 and β > 1 such that h1 ≤ h(t) ≤ h2|t|β + h3. We give the appropriate assumptions on f in order to state the basic result of this paper, (f1) f ∈ C(Ω × R, R) and there exists 1 < q(x) < p∗(x), such that
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