"an act not warranted by law, or an omission to discharge a legal duty, which act or omission obstructs or causes inconvenience or damage to the public in the exercise of rights common to all His Majesty's subjects".
"Private nuisance" is the interference with the right of specific people. Nuisance is one of the oldest causes of action known to the common law, with cases framed in nuisance going back almost to the beginning of recorded case law. Nuisance signifies that the "right of quiet enjoyment" is being disrupted to such a degree that a tort is being committed.
To be a nuisance, the level of interference must rise above the merely aesthetic. For example: if your neighbour paints their house purple, it may offend you; however, it doesn't rise to the level of nuisance. In most cases, normal uses of a property that can constitute quiet enjoyment cannot be restrained in nuisance either. For example, the sound of a crying baby may be annoying, but it is an expected part of quiet enjoyment of property and does not constitute a nuisance.
Nuisances come in two forms: private and public.
A public nuisance is an unreasonable interference with the public's right to property. It includes conduct that interferes with public health, safety, peace or convenience. The unreasonableness may be evidenced by statute, or by the nature of the act, including how long, and how bad, the effects of the activity may be.
A private nuisance is simply a violation of one's use of quiet enjoyment of land. It doesn't include trespass.
Any affected property owner has standing to sue for a private nuisance. If a nuisance is widespread enough, but yet has a public purpose, it is often treated at law as a public nuisance. Owners of interests in real property (whether owners, lessors, or holders of an easement or other interest) have standing only to bring private nuisance suits.
Similarly, modern environmental laws are an adaptation of the doctrine of nuisance to modern complex societies, in that a person's use of his property may harmfully affect another's property, or person, far from the nuisance activity, and from causes not easily integrated into historic understandings of nuisance law.
The law and economics movement has been involved in analyzing the most efficient choice of remedies given the circumstances of the nuisance. In Boomer v. Atlantic Cement Co. a cement plant interfered with a number of neighbors, yet the cost of complying with a full injunction would have been far more than a fair value of the cost to the plaintiffs of continuation. The New York court allowed the cement plant owner to 'purchase' the injunction for a specified amount--the permanent damages. In theory, the permanent damage amount should be the net present value of all future damages suffered by the plaintiff.
Under English law, the situation is different: the 1879 case of Sturges v Bridgman is still good law, and a new owner can bring a claim in nuisance for the existing activities of a neighbour.
There are two classes of nuisance under the American law: a nuisance in fact, or "nuisance per accidens", and a nuisance per se. The classification determines whether the claim goes to the jury, or gets decided by the judge. An alleged nuisance in fact is an issue of fact to be determined by the jury, who will decide whether the thing (or act) in question created a nuisance, by examining its location and surroundings, the manner of its conduct, and other circumstances. A determination that something is a nuisance in fact also requires proof of the act and its consequences.
By contrast, a nuisance per se is "an activity, or an act, structure, instrument, or occupation which is a nuisance at all times and under any circumstances, regardless of location or surroundings. Liability for a nuisance per se is absolute, and injury to the public is presumed; if its existence is alleged and established by proof, it is also established as a matter of law. Therefore, a judge would decide a nuisance per se, while a jury would decide a nuisance in fact.
Most nuisance claims allege a nuisance in fact, for the simple reason that not many actions or structures have been deemed to be nuisances per se. In general, if an act, or use of property, is lawful, or authorized by competent authority, it can't be a nuisance per se. Rather, the act in question must either be declared by public statute, or by case law, to be a nuisance per se. There aren't many state or federal statutes or case law declaring actions or structures to be a nuisance in and of themselves. Nor are many activities or structures, in and of themselves, and under any and all circumstances, a nuisance; which is how courts determine whether or not an action or structure is a nuisance per se.
Note: the term is also used less formally in the United States to describe the non-meritorious nature of frivolous litigation. A lawsuit may be described as a "nuisance suit", and a settlement a "nuisance settlement", if the defendant pays money to the plaintiff to drop the case primarily to spare the cost of litigation, rather than because the suit would have a significant likelihood of winning.
A private nuisance is an act, or omission, which causes inconvenience or damage to a private person, and is left to be redressed by action. There must be some sensible diminution of these rights affecting the value or convenience of the property. "The real question in all the cases is the question of fact, whether the annoyance is such as materially to interfere with the ordinary comfort of human existence" (Lord Romilly in Crump v. Lambert (1867) L.R. 3 Eq. 409). A private nuisance, differing in this respect from a public nuisance, may be legalized by uninterrupted use for twenty years. It used to be thought that, if a man knew there was a nuisance and went and lived near it, he couldn't recover, because, it was said, it is he that goes to the nuisance, and not the nuisance to him. But this has long ceased to be law, as regards both the remedy by damages, and the remedy by injunction.
The remedy for a public nuisance is by information, indictment, summary procedure or abatement. An information lies in cases of great public importance, such as the obstruction of a navigable river by piers. In some matters, the law allows the party to take the remedy into his own hands, and to "abate" the nuisance. Thus; if a gate be placed across a highway, any person lawfully using the highway may remove the obstruction, provided that no breach of the peace is caused thereby. The remedy for a private nuisance is by injunction, action for damages or abatement. An action lies in every case for a private nuisance; it also lies where the nuisance is public, provided that the plaintiff can prove that he has sustained some special injury. In such a case, the civil is in addition to the criminal remedy. In abating a private nuisance, care must be taken not to do more damage than is necessary for the removal of the nuisance.
In Scotland, there's no recognized distinction between public and private nuisances. The law as to what constitutes a nuisance is substantially the same as in England. A list of statutory nuisances will be found in the Public Health (Scotland) Act 1867, and amending acts. The remedy for nuisance is by interdict, or action.