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            <title xml:lang="en">Test function approach to fully nonlinear equations in thin domains</title>
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                <forename type="first">Isabeau</forename>
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            <funder>I. Birindelli was partially supported by project Leoni 2023 GNAMPA-INDAM and project  "At the Edge of Reaction-diffusion equations" Sapienza Università di Roma. H. Ishii was partially supported by the JSPS KAKENHI Grant Nos.  JP20K03688, JP23K20224, and JP23K20604.</funder>
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            <idno type="halRefHtml">&lt;i&gt;Proceedings of the American Mathematical Society&lt;/i&gt;, In press, &lt;a target="_blank" href="https://dx.doi.org/10.48550/arXiv.2404.19577"&gt;&amp;#x27E8;10.48550/arXiv.2404.19577&amp;#x27E9;&lt;/a&gt;</idno>
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            <idno type="stamp" n="UNIV-ORLEANS">Université d'Orléans</idno>
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            <idno type="stamp" n="IDP">Institut Denis Poisson</idno>
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                <title xml:lang="en">Test function approach to fully nonlinear equations in thin domains</title>
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                <term xml:lang="en">Analysis of PDEs</term>
                <term xml:lang="en">Asymptotic behavior of solutions to PDEs</term>
                <term xml:lang="en">Boundary value problems for second-order elliptic equations</term>
                <term xml:lang="en">Viscosity solutions</term>
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              <p>In this note we extend to fully nonlinear operators the well known result on thin domains of Hale and Raugel. The result is more general even in the case of the Laplacian.</p>
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