This I think is a fix for issue swagger-api#4059.

modules/swagger-core/src/main/java/io/swagger/v3/core/jackson/ModelResolver.java

@@ -992,7 +992,7 @@ protected boolean ignore(final Annotated member, final XmlAccessorType xmlAccess
         if (propertiesToIgnore.contains(propName)) {
             return true;
         }
-        if (member.hasAnnotation(JsonIgnore.class)) {
+        if (member.hasAnnotation(JsonIgnore.class) && !member.getAnnotation( JsonIgnore.class ).value() == false ) {
             return true;
         }
         if (hasHiddenAnnotation(member)) {

modules/swagger-core/src/test/java/io/swagger/v3/core/resolving/Ticket4059Test.java

@@ -0,0 +1,99 @@
+package io.swagger.v3.core.resolving;
+
+import com.fasterxml.jackson.annotation.JsonIgnore;
+import com.fasterxml.jackson.annotation.JsonValue;
+import io.swagger.v3.core.converter.AnnotatedType;
+import io.swagger.v3.core.converter.ModelConverterContextImpl;
+import io.swagger.v3.core.jackson.ModelResolver;
+import io.swagger.v3.core.matchers.SerializationMatchers;
+import io.swagger.v3.oas.models.media.Schema;
+import org.testng.annotations.Test;
+
+public class Ticket4059Test extends SwaggerTestBase {
+
+    @Test
+    public void testJsonIgnoreAnnotation() throws Exception {
+
+        final ModelResolver modelResolver = new ModelResolver(mapper());
+
+        ModelConverterContextImpl context = new ModelConverterContextImpl(modelResolver);
+
+        Schema model = context
+                .resolve(new AnnotatedType(ExtendedRequest.class));
+
+        SerializationMatchers.assertEqualsToYaml(context.getDefinedModels(), "ExtendedRequest:\n" +
+                "  type: object\n" +
+                "  properties:\n" +
+                "    id:\n" +
+                "      type: string\n" +
+                "    id2:\n" +
+                "      type: string");
+
+    }
+
+    static class ExtendedRequest extends Request{
+        @JsonIgnore(value = false) // Don't ignore me
+        private Id id;
+        @JsonIgnore(value = true)
+        private String fieldTwo;
+        @JsonIgnore
+        private String fieldThree;
+
+        public String getFieldTwo() {
+            return fieldTwo;
+        }
+
+        public void setFieldTwo(String fieldTwo) {
+            this.fieldTwo = fieldTwo;
+        }
+
+        public String getFieldThree() {
+            return fieldThree;
+        }
+
+        public void setFieldThree(String fieldThree) {
+            this.fieldThree = fieldThree;
+        }
+
+        public Id getId() {
+            return id;
+        }
+
+        public void setId(Id id) {
+            this.id = id;
+        }
+    }
+
+    static class Request {
+        @JsonIgnore
+        private Id id;
+
+        @JsonIgnore(value = false) // Don't ignore me
+        private Id id2;
+
+        public Id getId2() {
+            return id2;
+        }
+
+        public void setId2(Id id2) {
+            this.id2 = id2;
+        }
+
+        public Id getId() {
+            return id;
+        }
+
+        public void setId(Id id) {
+            this.id = id;
+        }
+    }
+
+    static class Id {
+        private String value;
+
+        @JsonValue
+        public String getValue() {
+            return value;
+        }
+    }
+}