You should remove the authors from the Publications table and make a 3rd table that links Users with Publications.
PublicationAuthors
PublicationID int
UserID int
Then your queries can just check that table to see if a user is associated with the publication. Plus, you can have as many authors as needed without adding new columns to Publications and if someone changes their name it won't break the relationship with Publications.
Here is an example (I used SQL Server for this so there might be small syntax differences):
CREATE TABLE Publications(
[PublicationID] [int] IDENTITY(1,1) NOT NULL,
[Title] [nvarchar](128) NOT NULL,
[DatePublished] [DateTime]
PRIMARY KEY CLUSTERED
(
[PublicationID] ASC
)WITH (PAD_INDEX = OFF, STATISTICS_NORECOMPUTE = OFF, IGNORE_DUP_KEY = OFF, ALLOW_ROW_LOCKS = ON, ALLOW_PAGE_LOCKS = ON) ON [PRIMARY]
) ON [PRIMARY]
GO
CREATE TABLE Authors(
[AuthorID] [int] IDENTITY(1,1) NOT NULL,
[FirstName] [nvarchar](128) NOT NULL,
[LastName] [nvarchar](128) NOT NULL
PRIMARY KEY CLUSTERED
(
[AuthorID] ASC
)WITH (PAD_INDEX = OFF, STATISTICS_NORECOMPUTE = OFF, IGNORE_DUP_KEY = OFF, ALLOW_ROW_LOCKS = ON, ALLOW_PAGE_LOCKS = ON) ON [PRIMARY]
) ON [PRIMARY]
GO
CREATE TABLE PublicationAuthors(
[PublicationID] [int],
[AuthorID] [int]
PRIMARY KEY CLUSTERED
(
[PublicationID] ASC,
[AuthorID]
)WITH (PAD_INDEX = OFF, STATISTICS_NORECOMPUTE = OFF, IGNORE_DUP_KEY = OFF, ALLOW_ROW_LOCKS = ON, ALLOW_PAGE_LOCKS = ON) ON [PRIMARY]
) ON [PRIMARY]
GO
INSERT INTO Publications (Title, DatePublished) VALUES ('Sphere', '5/12/1987')
INSERT INTO Publications (Title, DatePublished) VALUES ('Jurassic Park', '11/1/1990')
INSERT INTO Authors (FirstName, LastName) VALUES ('Michael', 'Chricton')
INSERT INTO Authors (FirstName, LastName) VALUES ('Andy', 'McKenna')
INSERT INTO PublicationAuthors (PublicationID, AuthorID) VALUES (1, 1)
INSERT INTO PublicationAuthors (PublicationID, AuthorID) VALUES (2, 1)
INSERT INTO PublicationAuthors (PublicationID, AuthorID) VALUES (2, 2)
--All Authors for this Publication
SELECT p.Title, p.DatePublished, a.FirstName, a.LastName
FROM Publications p
INNER JOIN PublicationAuthors pa
ON pa.PublicationID = p.PublicationID
INNER JOIN Authors a
ON a.AuthorID = pa.AuthorID
WHERE p.PublicationID = 2
--All Publications for this Author
SELECT p.Title, p.DatePublished, a.FirstName, a.LastName
FROM Authors a
INNER JOIN PublicationAuthors pa
ON pa.AuthorID = a.AuthorID
INNER JOIN Publications p
ON pa.PublicationID = p.PublicationID
WHERE a.AuthorID = 1
Then when you realize I misspelled the author's last name, you can just update that one row without touching the Publications table.