2023
DOI: 10.1002/mma.9760
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Corrigendum: Multiple solutions for asymptotically q‐linear (p,q)‐Laplacian problems

Francesca Colasuonno

Abstract: A mistake in the assumptions of case in Theorem 1.1 is corrected. This requires a slight refinement of Lemma 3.6 leading to the multiplicity result.

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“…This is due to the fact that νkfalse(1false)=+$$ {\nu}_k^{(1)}=+\infty $$ for all k$$ k $$. On the other hand, under assumption false(Hfalse)$$ \left({H}_{-}\right) $$, Theorem 1.1 remains valid in the form stated in [1]. We give below a modified version of Theorem 1.1 false(H+false)$$ \left({H}_{+}\right) $$.…”
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“…This is due to the fact that νkfalse(1false)=+$$ {\nu}_k^{(1)}=+\infty $$ for all k$$ k $$. On the other hand, under assumption false(Hfalse)$$ \left({H}_{-}\right) $$, Theorem 1.1 remains valid in the form stated in [1]. We give below a modified version of Theorem 1.1 false(H+false)$$ \left({H}_{+}\right) $$.…”
mentioning
confidence: 99%
“…there exist h,knormalℕ$$ h,k\in \mathrm{\mathbb{N}} $$, with kh$$ k\ge h $$, such that <ηhfalse(0false)$$ {\ell}_{\infty }&lt;{\eta}_h&#x0005E;{(0)} $$ and 0>νk$$ {\ell}_0&#x0005E;{\prime }&gt;{\nu}_k&#x0005E;{\prime } $$, where νk:=infVnormal𝕎ksupuVfalse{0false}false‖ufalse‖ppfalse‖ufalse‖pp, and normal𝕎k is the set introduced in [1, Section 2], namely, 𝕎k:=V:Vsubspace ofW01,q(Ω),φ1V,dimVk. …”
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confidence: 99%
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