U.S. 123, 129, 112 S.Ct. 2395, 120 L.Ed.2d 101 (1992). Under that rule, leafletters may facially challenge permit schemes despite the fact that they have neither applied for a permit to distribute handbills on a particular street nor made definitive plans to do so. City of Lakewood v. Plain Dealer Publ’g Co., 486 U.S. 750, 755-56, 761, 108 S.Ct. 2138, 100 L.Ed.2d 771 (1988).
We thus conclude that four issues are properly before us: (1) the constitutionality of Massport’s ban on leafletting at the Fish Pier; (2) the facial validity of Mass-port’s newly-promulgated leafletting regulations vis-a-vis Northern Avenue; (3) the facial validity of Massport’s original leaf-letting policy vis-á-vis streets and sidewalks apart from Northern Avenue; and (4) the correctness of the district court’s denial of attorneys’ fees.
We quickly dispense with the third issue. The district court never focused on this claim — although preserved, it was not emphasized below — and the record is simply too sketchy to tell whether Massport controls any other public streets or sidewalks. Massport denies such ownership, but a map of its South Boston properties appears to indicate that other streets, including Avenue D, traverse them. Whether Massport controls those streets, and whether sidewalks run alongside, are even more enigmatic questions on this record. Due to this pervasive uncertainty, we think that the course of prudence is to remand this issue to the district court for factfind-ing. Accordingly, we do not address it further.
III. STANDARD OF REVIEW
Summary judgment is appropriate only “if the pleadings, depositions, answers to interrogatories, and admissions on file, together with the affidavits, if any, show that there is no genuine issue as to any material fact and that the moving party is entitled to a judgment as a matter of law.” Fed.R.Civ.P. 56(c). Thus, the trial court must resolve all disputed facts in favor of the non-moving party and draw all reasonable inferences to that party’s benefit. See, e.g., Dynamic Image Techs., Inc. v. United States, 221 F.3d 34, 39 (1st Cir.2000). These principles apply equally when all parties cross-move for summary judgment. See EEOC v. Steamship Clerks Union, 48 F.3d 594, 603 (1st Cir.1995) (“Barring special circumstances, the nisi prius court must consider each motion separately, drawing inferences against each movant in turn.... ”).
On appeal, we utilize the same framework. In that process, we afford de novo review to orders granting or denying summary judgment. E.g., Suarez v. Pueblo Int'l, Inc., 229 F.3d 49, 53 (1st Cir.2000). This case (apart from the remanded issue, see supra Part II) seems a suitable candidate for summary judgment. At oral argument in this court, counsel for all parties explicitly denied the existence of any material factual disputes with respect to the Fish Pier claim, and the Northern Avenue claim reduces to a facial challenge to Massport’s new regulations (and, thus, presents a pure question of law).
IV. THE CONSTITUTIONAL STANDARDS
Leafletting is a respected tradition in our democratic society, and it ranks as one of the core free speech activities shielded by the First Amendment. United States v. Grace, 461 U.S. 171, 176-77, 103 S.Ct. 1702, 75 L.Ed.2d 736 (1983). Though solicitously protected, however, the right to leaflet is not absolute. E.g., Hill v. Colorado, 530 U.S. 703, 730, 120 S.Ct. 2480, 147 L.Ed.2d 597 (2000). The constitutional standard by which the validity of a restriction on leafletting will be tested de