React Context: Why is the onSubmit event handler not working?

Question

React

Hello!
I'm doing an online store project for a portfolio. I want to make a search functionality for products (arrays from JSON). I have a file with a Context, because the event in Search.js should affect the conditional rendering of components in Container.js (these 2 files are at different levels in the directory). When submitting the search form, nothing happens, console.log('1') is not output to the console either. Please tell me what I did wrong?
context.js:

import React, { Component } from 'react'
import { data } from './components/data'

const SearchContext = React.createContext()

class SearchContextProvider extends Component {
  constructor() {
    super()
    this.state = {
      value: '',
      results: data,
      areResultsVisible: false
    }

    this.handleSearch = this.handleSearch.bind(this)
  }

  handleSearch(e) {
    e.preventDefault()
    console.log('1') //<-- не показывается в консоли
    this.setState = {
      value: e.target.value,
      results: data.filter(item => {
        return item.title.toLowerCase().includes(e.target.value.toLowerCase())
      }),
      areResultsVisible: true
    }
  }

  render() {
    return (
      <SearchContext.Provider value = {{
        ...this.state,
        handleSearch: this.handleSearch
      }}>
        {this.props.children}
      </SearchContext.Provider>
    )
  }
}

const SearchContextConsumer = SearchContext.Consumer

export { SearchContextProvider, SearchContextConsumer }

Search.js:

import React, { Component } from 'react'
import { StyledFormSearchBar } from '../styles'
import { SearchContextConsumer } from '../../context'

export default class Search extends Component {
  render() {
    return (
      <SearchContextConsumer>
        {
          value => (
          <StyledFormSearchBar>
            <input type="search" name="search" className="border border-dark rounded" onSubmit={value.handleSearch}/>
            <button type="submit" value="submit" className="bg-warning border-0 text-danger rounded-right position-relative">
              <i className="fas fa-search"></i>
            </button>
          </StyledFormSearchBar>
        )}
      </SearchContextConsumer>
    )
  }
}

Container.js:

import React from 'react'
import { Route } from "react-router-dom"
import { StyledDivGridContainer } from './styles'
import { SearchContextConsumer } from '../context'

import Carousel from './container/Carousel'
import MobilePhonesDiscount from './container/products/carousel/MobilePhonesDiscount'
import LaptopsDiscount from './container/products/carousel/LaptopsDiscount'
import TabletsDiscount from './container/products/carousel/TabletsDiscount'
import Products from './container/Products'
import SearchResults from './container/SearchResults'
import MobilePhones from './container/products/MobilePhones'
import Laptops from './container/products/Laptops'
import Tablets from './container/products/Tablets'
import ProductPage from './container/ProductPage'
import About from './container/About'
import ContactUs from './container/ContactUs'

export default function Container() {
  return (
    <StyledDivGridContainer>
      <div className="no-gutters justify-content-between">
        <SearchContextConsumer>
          {
            value => {
              return (
                !value.areResultsVisible 
                ? [
                    <Route exact path="/" component={Carousel}/>,
                    <Route exact path="/" component={Products}/>
                  ]
                : <Route exact path="/" component={SearchResults}/>
              )
            }
          }
        </SearchContextConsumer>
        <Route path="/mobile_phones_discount" component={MobilePhonesDiscount}/>
        <Route path="/laptops_discount" component={LaptopsDiscount}/>
        <Route path="/tablets_discount" component={TabletsDiscount}/>
        <Route path="/mobile_phones" component={MobilePhones}/>
        <Route path="/laptops" component={Laptops}/>
        <Route path="/tablets" component={Tablets}/>
        <Route path="/product_page" component={ProductPage}/>
        <Route path="/about" component={About}/>
        <Route path="/contact_us" component={ContactUs}/>
      </div>
    </StyledDivGridContainer>
  )
}

Project file structure:

Answer 1

I have not seen yet that onSubmit is hung on the input, and not on the form)