How to remove the button of "add cart" in home page on the mobile?

[joaop]

I can´t remove only the add cart button only on the phone.

[rocky]

Assuming you're using the default PrestaShop v1.6.1.10 theme, try editing product-list.tpl and changing line 154 from:

{if ($product.id_product_attribute == 0 || (isset($add_prod_display) && ($add_prod_display == 1))) && $product.available_for_order && !isset($restricted_country_mode) && $product.customizable != 2 && !$PS_CATALOG_MODE}

to:

{if !$mobile_device && (($product.id_product_attribute == 0 || (isset($add_prod_display) && ($add_prod_display == 1))) && $product.available_for_order && !isset($restricted_country_mode) && $product.customizable != 2 && !$PS_CATALOG_MODE)}

This should hide the "Add to cart" button if the device is detected to be a phone.