The phrase "a continuing battle with" is correct and usable in written English.
It can be used to describe an ongoing struggle or conflict with something, whether it be a personal issue, a challenge, or a broader societal problem.
Example: "She has been engaged in a continuing battle with her health issues for many years."
Alternatives: "an ongoing struggle with" or "a persistent fight against".
Before the invitation to the party, we were dreading having to wage a continuing battle with a noisy neighbor.
And she made me start a compost bucket, even though I have precious little dirt around my patio and a continuing battle with thuglike squirrels.
Not a continuing battle with weight, not the prospect of endless rejection, not even the cold sore on Ms. Payette's lip can keep her from her rounds.
Hundreds of cafeteria and other food-service workers rallied in Lower Manhattan for higher wages and improved benefits as part of a continuing battle with the Aramark Corporation.
Olazabal competed only three times last year because of a continuing battle with rheumatism, but starting this week hopes to play considerably more events this season and right through to the defence of the trophy in Chicago in September next year.
General Mamozai said the authorities believed that Mr. Fazlullah was one of seven Taliban militants killed in the Barg-e-Matal district of Nuristan Province in a continuing battle with the border police, but they were awaiting forensic identification of his remains to be certain.
The combined entity will oversee 10 brands, but Porsche will continue to enjoy independent status within the new corporate structure, reflecting what is likely to be a continuing battle for dominance with Volkswagen.
On May 13th the International Energy Agency, representing the main oil-consuming countries, said a global oil glut was building, as Saudi Arabia pumped oil frantically in a continuing battle for market share with American shale-oil producers.
But the demonstrators also tapped into feelings of resentment in the British countryside, newly politicized by a continuing battle over efforts to ban hunting with hounds, where New Labor is derided by critics as a party of the urban elite.
Such is the state of credit card security, a continuing battle between card issuers and criminals who steal account numbers, with consumers caught in the fray.
