Marriage = problems. But it's up to you to decide if you want happy problems or sad ones. You can't get rid of the problems, but you have to learn how to manage it effectively and deal with the daily grind of marriage. Practice good marriage techniques, and show care and concern for your spouse and perhaps the problems might not escalate into something different.
Problems are part and parcel of a marriage and there is no getting rid of them for sure! But you can handle and resolve problems effectively and efficiently with your spouse by working as a team and compromising on some issues now and then, especially if they are minor pet peeves. You can also prevent everyday issues from escalating into big problems by looking at it objectively and not pushing aside or ignoring any feedback or comments from your spouse
Most problems can be fixed by really listening to the other person's point of view and by trying to put yourself in their shoes. Even if you don't agree with them, this is how they feel and you should listen and try to understand. Tell your spouse that you love them and hug them often; it makes all the difference. Praise them regularly. Look for good things to say about them, as it is so easy to get hung up on all the irritating things they do that you forget why you got into the relationship in the first place.
Marriage problems will never be completely gone. If you think you can get rid of them you have something to learn about life because a relationship is hard work and there will always be some kind of problem to work through. This is especially true since marriage is usually the most intimate and complex relationship you can be in if you give it your all and make the most of it. You can start to solve a lot of problems through having a very effective communication plan and through putting your spouse before yourself in complete love and honor.